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Volumn , Issue 160, 2006, Pages 1-310

Dynamics in one complex variable

(1)  Milnor, John a  

a NONE

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EID: 33644695016     PISSN: 00662313     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (455)

References (263)
  • 4
    • 0001190134 scopus 로고
    • Riemann's mapping theorem for variable metrics
    • L. Ahlfors and L. Bers [1960], Riemann's mapping theorem for variable metrics, Annals of Math. 72, 385-404.
    • (1960) Annals of Math. , vol.72 , pp. 385-404
    • Ahlfors, L.1    Bers, L.2
  • 8
    • 0000071902 scopus 로고
    • Small denominators I: On the mappings of the circumference into itself
    • V. Arnold [1965], Small denominators I: On the mappings of the circumference into itself, Amer. Math. Soc. Transl. (2) 46, 213-284.
    • (1965) Amer. Math. Soc. Transl. (2) , vol.46 , pp. 213-284
    • Arnold, V.1
  • 9
    • 84968503955 scopus 로고
    • A Lefschetz fixed point formula for elliptic differential operators
    • M. Atiyah and R. Bott [1966], A Lefschetz fixed point formula for elliptic differential operators, Bull. Amer. Math. Soc. 72, 245-250.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 245-250
    • Atiyah, M.1    Bott, R.2
  • 10
    • 0003916101 scopus 로고
    • An essay on the calculus of functions
    • C. Babbage [1815], An essay on the calculus of functions, Phil. Trans. Royal Soc. London 105, 389-423. (Available through www.jstor.org.)
    • (1815) Phil. Trans. Royal Soc. London , vol.105 , pp. 389-423
    • Babbage, C.1
  • 11
    • 0001414984 scopus 로고
    • Repulsive fixedpoints of entire functions
    • I. N. Baker [1968], Repulsive fixedpoints of entire functions, Math. Zeit. 104, 252-256.
    • (1968) Math. Zeit. , vol.104 , pp. 252-256
    • Baker, I.N.1
  • 12
    • 84974450472 scopus 로고
    • An entire function which has wandering domains
    • I. N. Baker [1976], An entire function which has wandering domains, J. Austral. Math. Soc. 22, 173-176.
    • (1976) J. Austral. Math. Soc. , vol.22 , pp. 173-176
    • Baker, I.N.1
  • 14
    • 0003344466 scopus 로고
    • Iteration of rational functions
    • Springer-Verlag, New York
    • A. Beardon [1991], "Iteration of Rational Functions," Grad. Texts Math. 132, Springer-Verlag, New York.
    • (1991) Grad. Texts Math. , vol.132
    • Beardon, A.1
  • 16
    • 0000427892 scopus 로고
    • 2, IV: The measure of maximal entropy and laminar currents
    • 2, IV: The measure of maximal entropy and laminar currents, Inv. Math. 112, 77-125.
    • (1993) Inv. Math. , vol.112 , pp. 77-125
    • Bedford, E.1    Lyubich, M.2    Smillie, J.3
  • 24
    • 84893197133 scopus 로고
    • Iteration of meromorphic functions
    • W. Bergweiler [1993], Iteration of meromorphic functions, Bull. Amer. Math. Soc. 29, 151-188.
    • (1993) Bull. Amer. Math. Soc. , vol.29 , pp. 151-188
    • Bergweiler, W.1
  • 25
    • 27844570081 scopus 로고    scopus 로고
    • Rudiments de dynamique holomorphe
    • Prance, Paris
    • F. Berteloot and V. Mayer [2001], "Rudiments de Dynamique Holomorphe," Soc. Math. Prance, Paris.
    • (2001) Soc. Math.
    • Berteloot, F.1    Mayer, V.2
  • 26
    • 0002139665 scopus 로고
    • Über die Koeffizienten derjenigen Potenzreihen welche eine schlichte Abbildung des Einheitskreises vermitteln
    • L. Bieberbach [1916], Über die Koeffizienten derjenigen Potenzreihen welche eine schlichte Abbildung des Einheitskreises vermitteln, S.-B. Preuss. Akad. Wiss. 940-955.
    • (1916) S.-B. Preuss. Akad. Wiss. , pp. 940-955
    • Bieberbach, L.1
  • 27
    • 4243452866 scopus 로고
    • 4 auf einen Teil seiner selbst vermitteln
    • 4 auf einen Teil seiner selbst vermitteln, S.-B. Preuss. Akad. Wiss. 14/15, 476-479.
    • (1933) S.-B. Preuss. Akad. Wiss. , vol.14-15 , pp. 476-479
    • Bieberbach, L.1
  • 29
    • 84968494997 scopus 로고
    • Complex analytic dynamics on the Riemann sphere
    • P. Blanchard [1984], Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. 11, 85-141.
    • (1984) Bull. Amer. Math. Soc. , vol.11 , pp. 85-141
    • Blanchard, P.1
  • 30
    • 33644684118 scopus 로고
    • Disconnected Julia sets
    • Edit. Barnsley and Demko, Academic Press, New York
    • P. Blanchard [1986], Disconnected Julia sets, in "Chaotic Dynamics and Fractals," Edit. Barnsley and Demko, Academic Press, New York, 181-201.
    • (1986) Chaotic Dynamics and Fractals , pp. 181-201
    • Blanchard, P.1
  • 31
    • 68249109211 scopus 로고
    • Conformal dynamics: An informal discussion
    • "Fractal Geometry and Analysis" (Montreal 1989), Kluwer Acad. Publ, Dordrecht
    • P. Blanchard and A. Chiu [1991], Conformal dynamics: An informal discussion, in "Fractal Geometry and Analysis" (Montreal 1989), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 346, Kluwer Acad. Publ, Dordrecht, 45-98.
    • (1991) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.346 , pp. 45-98
    • Blanchard, P.1    Chiu, A.2
  • 32
    • 84968516134 scopus 로고
    • On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions, and universal machines
    • L. Blum, M. Shub, and S. Smale [1989], On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions, and universal machines, Bull. Amer. Math. Soc. 21, 1-46.
    • (1989) Bull. Amer. Math. Soc. , vol.21 , pp. 1-46
    • Blum, L.1    Shub, M.2    Smale, S.3
  • 34
    • 0002068250 scopus 로고
    • The principal laws of convergence of iterates and their application to analysis
    • L. E. Böttcher [1904], The principal laws of convergence of iterates and their application to analysis (Russian), Izv. Kazan. Fiz.-Mat. Obshch. 14, 155-234.
    • (1904) Izv. Kazan. Fiz.-Mat. Obshch. , vol.14 , pp. 155-234
    • Böttcher, L.E.1
  • 35
    • 0000441937 scopus 로고
    • A proof of the Bieberbach conjecture
    • L. de Branges [1985], A proof of the Bieberbach conjecture, Acta Math. 154, 137-152.
    • (1985) Acta Math. , vol.154 , pp. 137-152
    • De Branges, L.1
  • 36
    • 0002180141 scopus 로고
    • The Mandelbrot set
    • "Chaos and Fractals," Edit. Devaney and Keen, Amer. Math. Soc.
    • B. Branner [1989], The Mandelbrot set, 75-105 of "Chaos and Fractals," Edit. Devaney and Keen, Proc. Symp. Applied Math. 39, Amer. Math. Soc.
    • (1989) Proc. Symp. Applied Math. , vol.39 , pp. 75-105
    • Branner, B.1
  • 37
    • 0001058412 scopus 로고
    • The iteration of cubic polynomials, Part I: The global topology of parameter space
    • B. Branner and J. H. Hubbard [1988], The iteration of cubic polynomials, Part I: The global topology of parameter space, Acta Math. 160, 143-206.
    • (1988) Acta Math. , vol.160 , pp. 143-206
    • Branner, B.1    Hubbard, J.H.2
  • 38
    • 0346061454 scopus 로고
    • The iteration of cubic polynomials, Part II: Patterns and parapatterns
    • B. Branner and J. H. Hubbard [1992], The iteration of cubic polynomials, Part II: Patterns and parapatterns, Acta Math. 169, 229-325.
    • (1992) Acta Math. , vol.169 , pp. 229-325
    • Branner, B.1    Hubbard, J.H.2
  • 42
    • 84950357804 scopus 로고
    • Invariant sets under iteration of rational functions
    • H. Brolin [1965], Invariant sets under iteration of rational functions, Arkiv for Mat. 6, 103-144.
    • (1965) Arkiv for Mat. , vol.6 , pp. 103-144
    • Brolin, H.1
  • 43
    • 0001798688 scopus 로고
    • The dynamics of 2-generator subgroups of PSL(2,ℂ)
    • "Riemann Surfaces and Related Topics", Proceedings of the 1978 Stony Brook Conference, Princeton Univ. Press, Princeton, NJ
    • R. Brooks and P. Matelski [1981], The dynamics of 2-generator subgroups of PSL(2,ℂ), in "Riemann Surfaces and Related Topics", Proceedings of the 1978 Stony Brook Conference, Ann. of Math. Stud., 97, Princeton Univ. Press, Princeton, NJ, 65-71.
    • (1981) Ann. of Math. Stud. , vol.97 , pp. 65-71
    • Brooks, R.1    Matelski, P.2
  • 44
    • 84879168733 scopus 로고
    • A proof of the generalized Schoenflies theorem
    • M. Brown [1960], A proof of the generalized Schoenflies theorem, Bull. Amer. Math. Soc. 66, 74-76.
    • (1960) Bull. Amer. Math. Soc. , vol.66 , pp. 74-76
    • Brown, M.1
  • 45
    • 84968475663 scopus 로고
    • The monotone union of open n-cells is an open n-cell
    • (See also: The monotone union of open n-cells is an open n-cell, Proc. Amer. Math. Soc. [1961] 12, 812-814.)
    • (1961) Proc. Amer. Math. Soc. , vol.12 , pp. 812-814
  • 47
    • 0004945477 scopus 로고
    • Convergence of transformations of differential equations to normal forms
    • A. D. Bryuno (=Brjuno) [1965], Convergence of transformations of differential equations to normal forms, Dokl. Akad. Nauk USSR 165, 987-989
    • (1965) Dokl. Akad. Nauk USSR , vol.165 , pp. 987-989
    • Bryuno, A.D.1
  • 49
    • 2442624373 scopus 로고    scopus 로고
    • Virtually repelling fixed points
    • X. Buff [2003], Virtually repelling fixed points, Publ. Mat. 47, 195-209.
    • (2003) Publ. Mat. , vol.47 , pp. 195-209
    • Buff, X.1
  • 51
    • 0036990191 scopus 로고    scopus 로고
    • A parabolic Pommerenke-Levin-Yoccoz inequality
    • X. Buff and A. Epstein [2002], A parabolic Pommerenke-Levin-Yoccoz inequality, Fund. Math. 172, 249-289.
    • (2002) Fund. Math. , vol.172 , pp. 249-289
    • Buff, X.1    Epstein, A.2
  • 52
    • 0031505460 scopus 로고    scopus 로고
    • Infinitely many periodic attractors for holomorphic maps of 2 variables
    • G. T. Buzzard [1997], Infinitely many periodic attractors for holomorphic maps of 2 variables, Ann. of Math. 145, 389-417.
    • (1997) Ann. of Math. , vol.145 , pp. 389-417
    • Buzzard, G.T.1
  • 53
    • 0002543514 scopus 로고
    • On the local structure of conformal mappings and holomorphic vector fields
    • Soc. Math. France, Paris
    • C. Camacho [1978], On the local structure of conformal mappings and holomorphic vector fields, Journées Singulières de Dijon, Astérisque 59-60, Soc. Math. France, Paris, 3, 83-94.
    • (1978) Journées Singulières de Dijon, Astérisque , vol.59-60 , pp. 3
    • Camacho, C.1
  • 54
    • 0000347470 scopus 로고
    • Über die Begrenzung einfach zusammenhängender Gebiete
    • C. Carathéodory [1913], Über die Begrenzung einfach zusammenhängender Gebiete, Math. Ann. 73, 323-370.
    • (1913) Math. Ann. , vol.73 , pp. 323-370
    • Carathéodory, C.1
  • 57
    • 0344009269 scopus 로고
    • Application of the Newton-Fourier method to an imaginary root of an equation
    • A. Cayley [1879], Application of the Newton-Fourier method to an imaginary root of an equation, Quart. J. Pure Appl. Math. 16, 179-185.
    • (1879) Quart. J. Pure Appl. Math. , vol.16 , pp. 179-185
    • Cayley, A.1
  • 58
    • 5844373231 scopus 로고
    • A singular case of iteration of analytic functions: A contribution to the small-divisor problem
    • Academic Press, New York
    • T. M. Cherry [1964], A singular case of iteration of analytic functions: A contribution to the small-divisor problem, "Nonlinear Problems of Engineering," Academic Press, New York. 29-50.
    • (1964) Nonlinear Problems of Engineering , pp. 29-50
    • Cherry, T.M.1
  • 59
    • 0029525043 scopus 로고
    • Computational complexity of two dimensional regions
    • A. Chou and K. Ko [1995], Computational complexity of two dimensional regions, SIAM J. Computation 24, 923-947.
    • (1995) SIAM J. Computation , vol.24 , pp. 923-947
    • Chou, A.1    Ko, K.2
  • 63
    • 0040279476 scopus 로고
    • Zum Zentrumproblem
    • H. Cremer [1927], Zum Zentrumproblem, Math. Ann. 98, 151-163.
    • (1927) Math. Ann. , vol.98 , pp. 151-163
    • Cremer, H.1
  • 64
    • 0007158576 scopus 로고
    • Über die Häufigkeit der Nichtzentren
    • H. Cremer [1938], Über die Häufigkeit der Nichtzentren, Math. Ann. 115, 573-580.
    • (1938) Math. Ann. , vol.115 , pp. 573-580
    • Cremer, H.1
  • 65
    • 0038469575 scopus 로고    scopus 로고
    • Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
    • L. DeMarco [2003], Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity, Math. Ann. 326, 43-73.
    • (2003) Math. Ann. , vol.326 , pp. 43-73
    • DeMarco, L.1
  • 67
    • 0000774649 scopus 로고
    • Sur l'itération des fonctions analytiques
    • A. Denjoy [1926], Sur l'itération des fonctions analytiques, C. R. Acad. Sci. Paris 182, 255-257.
    • (1926) C. R. Acad. Sci. Paris , vol.182 , pp. 255-257
    • Denjoy, A.1
  • 68
    • 0001491192 scopus 로고
    • Sur les courbes définies par les équations différentielles à la surface du tore
    • A. Denjoy [1932], Sur les courbes définies par les équations différentielles à la surface du tore, Journ. de Math. 11, 333-375.
    • (1932) Journ. de Math. , vol.11 , pp. 333-375
    • Denjoy, A.1
  • 69
    • 33644687505 scopus 로고
    • Exploding Julia sets
    • Edit. Barnsley and Demko, Academic Press, New York
    • R. Devaney [1986], Exploding Julia sets, in "Chaotic Dynamics and Fractals," Edit. Barnsley and Demko, Academic Press, New York, 141-154.
    • (1986) Chaotic Dynamics and Fractals , pp. 141-154
    • Devaney, R.1
  • 70
    • 0003509599 scopus 로고
    • Addison-Wesley, Reading, MA
    • nd Ed., Addison-Wesley, Reading, MA.
    • (1989) nd Ed.
    • Devaney, R.1
  • 71
    • 22544474361 scopus 로고    scopus 로고
    • Cantor and Sierpinski, Julia and Fatou: Complex topology meets complex dynamics
    • January
    • R. Devaney [2004], Cantor and Sierpinski, Julia and Fatou: Complex topology meets complex dynamics, Notices Amer. Math. Soc., January, 9-15.
    • (2004) Notices Amer. Math. Soc. , pp. 9-15
    • Devaney, R.1
  • 72
    • 0009068559 scopus 로고
    • Systèmes dynamiques holomorphes
    • Astérisque
    • e année, no 599; Astérisque 105/106, 39-63.
    • (1982) e Année , vol.105-106 , Issue.599 , pp. 39-63
    • Douady, A.1
  • 73
    • 0042764945 scopus 로고
    • Julia sets and the Mandelbrot set
    • Edit. Peitgen and Richter, Springer-Verlag, New York
    • A. Douady [1986], Julia sets and the Mandelbrot set, in "The Beauty of Fractals," Edit. Peitgen and Richter, Springer-Verlag, New York, 161-173.
    • (1986) The Beauty of Fractals , pp. 161-173
    • Douady, A.1
  • 74
    • 0000195443 scopus 로고
    • Disques de Siegel et anneaux de Herman
    • e Année (1986-87)
    • e année (1986-87) no 677; Astérisque 152-153, 151-172.
    • (1987) Astérisque , vol.152-153 , Issue.677 , pp. 151-172
    • Douady, A.1
  • 75
    • 2942672029 scopus 로고    scopus 로고
    • Le théorème d'intégrabilité des structures presque complexes
    • The Mandelbrot Set, Theme and Variations
    • A. Douady and X. Buff [2000], Le théorème d'intégrabilité des structures presque complexes, in "The Mandelbrot Set, Theme and Variations," London Math. Soc. Lecture Note Ser. 274, 307-324.
    • (2000) London Math. Soc. Lecture Note Ser. , vol.274 , pp. 307-324
    • Douady, A.1    Buff, X.2
  • 76
    • 0001007209 scopus 로고
    • Itération des polynômes quadratiques complexes
    • A. Douady and J. H. Hubbard [1982], Itération des polynômes quadratiques complexes, C. R. Acad. Sci. Paris 294, 123-126.
    • (1982) C. R. Acad. Sci. Paris , vol.294 , pp. 123-126
    • Douady, A.1    Hubbard, J.H.2
  • 77
    • 0003206472 scopus 로고
    • Étude dynamique des polynômes complexes i and II
    • A. Douady and J. H. Hubbard [1984-85], "Étude Dynamique des Polynômes Complexes I and II," Publ. Math. Orsay.
    • (1984) Publ. Math. Orsay.
    • Douady, A.1    Hubbard, J.H.2
  • 79
    • 33846181504 scopus 로고
    • A proof of Thurston's topological characterization of rational functions
    • A. Douady and J. H. Hubbard [1993], A proof of Thurston's topological characterization of rational functions, Acta Math. 171, 263-297.
    • (1993) Acta Math. , vol.171 , pp. 263-297
    • Douady, A.1    Hubbard, J.H.2
  • 80
    • 0000547631 scopus 로고
    • Théorie itérative: Introduction a la théorie des invariants holomorphes
    • J. Écalle [1975], Théorie itérative: Introduction a la théorie des invariants holomorphes, J. Math. Pure Appl. 54, 183-258.
    • (1975) J. Math. Pure Appl. , vol.54 , pp. 183-258
    • Écalle, J.1
  • 82
    • 0034384871 scopus 로고    scopus 로고
    • Bounded hyperbolic components of quadratic rational maps
    • A. L. Epstein [2000], Bounded hyperbolic components of quadratic rational maps, Ergodic Theory Dynam. Systems 20, 727-748.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , pp. 727-748
    • Epstein, A.L.1
  • 84
    • 0043108435 scopus 로고
    • Periodic points of polynomials
    • [1989]
    • A. Eremenko and G. Levin [1989], Periodic points of polynomials, (Russian) Ukrain. Mat. Zh. [1989] 41, 1467-1471, 1581;
    • (1989) Ukrain. Mat. Zh. , vol.41 , pp. 1467-1471
    • Eremenko, A.1    Levin, G.2
  • 85
    • 0043108435 scopus 로고
    • English translation
    • English translation in Ukrainian Math. J. [1989/1990] 41, 1258-1262.
    • (1989) Ukrainian Math. J. , vol.41 , pp. 1258-1262
  • 86
    • 0000490626 scopus 로고
    • The dynamics of analytic transformations
    • A. Eremenko and M. Lyubich [1990], The dynamics of analytic transformations, Leningr. Math. J. 1, 563-634.
    • (1990) Leningr. Math. J. , vol.1 , pp. 563-634
    • Eremenko, A.1    Lyubich, M.2
  • 87
    • 0001220143 scopus 로고
    • Dynamical properties of some classes of entire functions
    • A. Eremenko and M. Lyubich [1992], Dynamical properties of some classes of entire functions, Ann. Inst. Fourier, Grenoble 42, 989-1020.
    • (1992) Ann. Inst. Fourier, Grenoble , vol.42 , pp. 989-1020
    • Eremenko, A.1    Lyubich, M.2
  • 88
    • 0001159043 scopus 로고
    • (See also Sov. Math. Dokl. [1984] 30, 592-594;
    • (1984) Sov. Math. Dokl. , vol.30 , pp. 592-594
  • 89
    • 33644687504 scopus 로고
    • Funct. Anal. Appl. [1985] 19, 323-324;
    • (1985) Funct. Anal. Appl. , vol.19 , pp. 323-324
  • 90
    • 0000923548 scopus 로고
    • and J. Lond. Math. Soc. [1987] 36, 458-468.)
    • (1987) J. Lond. Math. Soc. , vol.36 , pp. 458-468
  • 93
    • 0000336007 scopus 로고
    • Sur les solutions uniformes de certaines équations fonctionnelles
    • P. Fatou [1906], Sur les solutions uniformes de certaines équations fonctionnelles, C. R. Acad. Sci. Paris 143, 546-548.
    • (1906) C. R. Acad. Sci. Paris , vol.143 , pp. 546-548
    • Fatou, P.1
  • 94
    • 0000888015 scopus 로고
    • Sur les équations fonctionnelles
    • P. Fatou [1919-20], Sur les équations fonctionnelles, Bull. Soc. Math. France, Paris 47, 161-271,
    • (1919) Bull. Soc. Math. France, Paris , vol.47 , pp. 161-271
    • Fatou, P.1
  • 95
    • 0000888015 scopus 로고
    • Sur les équations fonctionnelles
    • P. Fatou [1919-20], Sur les équations fonctionnelles, Bull. Soc. Math. France, Paris and 48, 33-94, 208-314.
    • (1919) Bull. Soc. Math. France, Paris , vol.48 , pp. 33-94
    • Fatou, P.1
  • 96
    • 51249193191 scopus 로고
    • Sur l'itération des fonctions transcendantes entières
    • P. Fatou [1926], Sur l'itération des fonctions transcendantes entières, Acta Math. 47, 337-370.
    • (1926) Acta Math. , vol.47 , pp. 337-370
    • Fatou, P.1
  • 97
    • 0042370343 scopus 로고
    • Exploring the Mandelbrot set
    • Edit. Peitgen and Saupe, Springer-Verlag, New York
    • Y. Fisher [1988], Exploring the Mandelbrot set, in "The Science of Fractal Images," Edit. Peitgen and Saupe, Springer-Verlag, New York, 287-296.
    • (1988) The Science of Fractal Images , pp. 287-296
    • Fisher, Y.1
  • 98
    • 0007271046 scopus 로고
    • A proof of the uniformization theorem for arbitrary plane domains
    • Y. Fisher, J. Hubbard, and B. Wittner [1988], A proof of the uniformization theorem for arbitrary plane domains, Proceedings Amer. Math. Soc. 104, 413-418.
    • (1988) Proceedings Amer. Math. Soc. , vol.104 , pp. 413-418
    • Fisher, Y.1    Hubbard, J.2    Wittner, B.3
  • 99
    • 0010041328 scopus 로고    scopus 로고
    • Dynamics in several complex variables
    • Amer. Math. Soc., Providence, RI
    • J. E. Fornæss [1996], "Dynamics in Several Complex Variables," CBMS Regional Conference Series in Mathematics 87, Amer. Math. Soc., Providence, RI.
    • (1996) CBMS Regional Conference Series in Mathematics , vol.87
    • Fornæss, J.E.1
  • 100
    • 0009083040 scopus 로고
    • Existence of generic homoclinic tangencies for Hénon mappings
    • J. E. Fornæss and E. Gavosto [1992], Existence of generic homoclinic tangencies for Hénon mappings, J. Geom. Anal. 2, 429-444.
    • (1992) J. Geom. Anal. , vol.2 , pp. 429-444
    • Fornæss, J.E.1    Gavosto, E.2
  • 102
    • 0002096146 scopus 로고
    • 2
    • "The Madison Symposium on Complex Analysis" (Madison, 1991), Amer. Math. Soc., Providence, RI
    • 2, in "The Madison Symposium on Complex Analysis" (Madison, 1991), Contemp. Math. 137, Amer. Math. Soc., Providence, RI, 245-260.
    • (1992) Contemp. Math. , vol.137 , pp. 245-260
    • Fornæss, J.E.1    Sibony, N.2
  • 103
    • 0001054843 scopus 로고
    • Complex dynamics in higher dimension, I
    • "Complex Analytic Methods in Dynamical Systems" Rio de Janeiro, 1992]
    • J. E. Fornæss and N. Sibony [1994], Complex dynamics in higher dimension, I, "Complex Analytic Methods in Dynamical Systems" (Rio de Janeiro, 1992], Astérisque 222, 201-231.
    • (1994) Astérisque , vol.222 , pp. 201-231
    • Fornæss, J.E.1    Sibony, N.2
  • 104
    • 0000819285 scopus 로고
    • Complex dynamics in higher dimension, II
    • "Modern Methods in Complex Analysis" (Princeton, 1992), Princeton U. Press, Princeton, NJ
    • J. E. Fornæss and N. Sibony [1995a], Complex dynamics in higher dimension, II, in "Modern Methods in Complex Analysis" (Princeton, 1992), Ann. of Math. Stud., 137, Princeton U. Press, Princeton, NJ, 135-182.
    • (1995) Ann. of Math. Stud. , vol.137 , pp. 135-182
    • Fornæss, J.E.1    Sibony, N.2
  • 105
    • 0039856647 scopus 로고
    • Classification of recurrent domains for some holomorphic maps
    • J. E. Fornæss and N. Sibony [1995b], Classification of recurrent domains for some holomorphic maps, Math. Ann. 301, 813-820.
    • (1995) Math. Ann. , vol.301 , pp. 813-820
    • Fornæss, J.E.1    Sibony, N.2
  • 107
    • 30244549543 scopus 로고    scopus 로고
    • 2 (examples)
    • "Laminations and Foliations in Dynamics, Geometry and Topology" (Stony Brook, NY, 1998), Amer. Math. Soc., Providence, RI
    • 2 (examples), in "Laminations and Foliations in Dynamics, Geometry and Topology" (Stony Brook, NY, 1998), Contemp. Math. 269, Amer. Math. Soc., Providence, RI, 47-85.
    • (2001) Contemp. Math. , vol.269 , pp. 47-85
    • Fornæss, J.E.1    Sibony, N.2
  • 108
    • 2442669912 scopus 로고    scopus 로고
    • 2
    • "Several Complex Variables" (Berkeley, CA, 1995-1996), Cambridge Univ. Press, Cambridge, UK
    • 2, "Several Complex Variables" (Berkeley, CA, 1995-1996), Math. Sci. Res. Inst. Publ. 37, Cambridge Univ. Press, Cambridge, UK, 297-307.
    • (1999) Math. Sci. Res. Inst. Publ. , vol.37 , pp. 297-307
    • Fornæss, J.E.1    Weickert, B.2
  • 110
  • 111
    • 84974281116 scopus 로고
    • Dynamical properties of plane polynomial automorphisms
    • S. Friedland and J. Milnor [1989], Dynamical properties of plane polynomial automorphisms, Ergodic Theory Dynam. Systems, 9, 67-99.
    • (1989) Ergodic Theory Dynam. Systems , vol.9 , pp. 67-99
    • Friedland, S.1    Milnor, J.2
  • 113
    • 33644670287 scopus 로고    scopus 로고
    • Holomorphic dynamical systems
    • Complex Dynamics and Geometry, Soc. Math. France, Paris; Amer. Math. Soc., Providence, RL, 2003, (Translated from "Dynamique et Géometrie Complexes", Soc. Math. Pr. 1999.)
    • E. Ghys [1999/2003], Holomorphic dynamical systems in "Complex Dynamics and Geometry," SMF/AMS Texts and Monographs 10, Soc. Math. France, Paris; Amer. Math. Soc., Providence, RL, 2003, 1-9. (Translated from "Dynamique et Géometrie Complexes", Soc. Math. Pr. 1999.)
    • (1999) SMF/AMS Texts and Monographs , vol.10 , pp. 1-9
    • Ghys, E.1
  • 114
    • 0000015502 scopus 로고
    • Fixed points of polynomial maps, Part I: Rotation subsets of the circle
    • L. Goldberg [1992], Fixed points of polynomial maps, Part I: Rotation subsets of the circle, Ann. Sci. École Norm. Sup. Paris 25, 679-685.
    • (1992) Ann. Sci. École Norm. Sup. Paris , vol.25 , pp. 679-685
    • Goldberg, L.1
  • 115
    • 84974079342 scopus 로고
    • A finiteness theorem for a dynamical class of entire functions
    • L. Goldberg and L. Keen [1986], A finiteness theorem for a dynamical class of entire functions, Ergodic Theory Dynam. Systems, 6, 183-192.
    • (1986) Ergodic Theory Dynam. Systems , vol.6 , pp. 183-192
    • Goldberg, L.1    Keen, L.2
  • 116
    • 0001856454 scopus 로고
    • Fixed points of polynomial maps, Part II: Fixed point portraits
    • L. Goldberg and J. Milnor [1993], Fixed points of polynomial maps, Part II: Fixed point portraits, Ann. Sci. École Norm. Sup. Paris 26, 51-98.
    • (1993) Ann. Sci. École Norm. Sup. Paris , vol.26 , pp. 51-98
    • Goldberg, L.1    Milnor, J.2
  • 117
    • 33644698626 scopus 로고
    • Some remarks on conformal representation
    • T. H. Gronwall [1914-15], Some remarks on conformal representation, Ann. of Math. 16, 72-76.
    • (1914) Ann. of Math. , vol.16 , pp. 72-76
    • Gronwall, T.H.1
  • 118
    • 84972569806 scopus 로고
    • Length of Julia curves
    • D. H. Hamilton [1995], Length of Julia curves, Pac. J. Math. 169, 75-93.
    • (1995) Pac. J. Math. , vol.169 , pp. 75-93
    • Hamilton, D.H.1
  • 120
    • 51249187032 scopus 로고
    • Sur la conjugation différentiates des difféomorphismes du cercle à les rotations
    • M. Herman [1979], Sur la conjugation différentiates des difféomorphismes du cercle à les rotations, Pub. I.H.E.S. 49, 5-233.
    • (1979) Pub. I.H.E.S. , vol.49 , pp. 5-233
    • Herman, M.1
  • 121
    • 0001773106 scopus 로고
    • Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
    • M. Herman [1984], Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann, Bull. Soc. Math. France, Paris 112, 93-142.
    • (1984) Bull. Soc. Math. France, Paris , vol.112 , pp. 93-142
    • Herman, M.1
  • 122
    • 0011130525 scopus 로고
    • n near a fixed point
    • World Scientific, River Edge, NJ
    • th Int. Cong. Math. Phys., World Scientific, River Edge, NJ, 138-198.
    • (1986) th Int. Cong. Math. Phys. , pp. 138-198
    • Herman, M.1
  • 123
    • 0003447189 scopus 로고
    • Addison-Wesley, Reading, MA
    • J. Hocking and G. Young [1961], "Topology," Addison-Wesley, Reading, MA.
    • (1961) Topology
    • Hocking, J.1    Young, G.2
  • 125
    • 0002300209 scopus 로고
    • The Hénon mapping in the complex domain
    • Edit. M. Barnsley and S. Demko, Academic Press, New York
    • J. H. Hubbard [1986], The Hénon mapping in the complex domain, in "Chaotic Dynamics and Fractals," Edit. M. Barnsley and S. Demko, Academic Press, New York, 101-111.
    • (1986) Chaotic Dynamics and Fractals , pp. 101-111
    • Hubbard, J.H.1
  • 126
    • 0002808228 scopus 로고
    • Local connectivity of Julia sets and bifurcation loci: Three theorems of J.-C. Yoccoz
    • Edit. Goldberg and Phillips, Publish or Perish, Houston, TX
    • J. H. Hubbard [1993], Local connectivity of Julia sets and bifurcation loci: Three theorems of J.-C. Yoccoz, in "Topological Methods in Modern Mathematics," Edit. Goldberg and Phillips, Publish or Perish, Houston, TX, 467-511.
    • (1993) Topological Methods in Modern Mathematics , pp. 467-511
    • Hubbard, J.H.1
  • 127
    • 0002826588 scopus 로고
    • Hénon mappings in the complex domain, II: Projective and inductive limits of polynomials
    • Real and Complex Dynamical Systems (Hillerød, 1993), Kluwer Acad. Publ., Dordrecht
    • J. H. Hubbard and R. Oberste-Vorth [1995], Hénon mappings in the complex domain, II: Projective and inductive limits of polynomials, in "Real and Complex Dynamical Systems (Hillerød, 1993)," NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. 464, Kluwer Acad. Publ., Dordrecht, 89-132.
    • (1995) NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. , vol.464 , pp. 89-132
    • Hubbard, J.H.1    Oberste-Vorth, R.2
  • 129
    • 0003189888 scopus 로고
    • Sur un nouvel et important théorème de la théorie des fonctions
    • J. L. W. V. Jensen [1899], Sur un nouvel et important théorème de la théorie des fonctions, Acta Math. 22, 219-251.
    • (1899) Acta Math. , vol.22 , pp. 219-251
    • Jensen, J.L.W.V.1
  • 131
    • 0002413379 scopus 로고
    • Memoire sur l'itération des fonctions rationnelles
    • G. Julia [1918], Memoire sur l'itération des fonctions rationnelles, J. Math. Pure Appl. 8, 47-245.
    • (1918) J. Math. Pure Appl. , vol.8 , pp. 47-245
    • Julia, G.1
  • 132
    • 33644664111 scopus 로고
    • Sur quelques problèmes relatifs à l'itération des fractions rationnelles
    • G. Julia [1919], Sur quelques problèmes relatifs à l'itération des fractions rationnelles, C. R. Acad. Sci. 168, 147-149.
    • (1919) C. R. Acad. Sci. , vol.168 , pp. 147-149
    • Julia, G.1
  • 134
    • 0007082790 scopus 로고
    • The dynamics of holomorphic self-maps of ℂ*
    • Edit. Drasin et al., Springer-Verlag, New York
    • L. Keen [1988], The dynamics of holomorphic self-maps of ℂ*, in "Holomorphic Functions and Moduli," Edit. Drasin et al., Springer-Verlag, New York, 9-30.
    • (1988) Holomorphic Functions and Moduli , pp. 9-30
    • Keen, L.1
  • 135
    • 0007389778 scopus 로고
    • Julia sets
    • "Chaos and Fractals, the Mathematics behind the Computer Graphics," Edit. Devaney and Keen, Amer. Math. Soc., Providence, RI
    • L. Keen [1989], Julia sets in "Chaos and Fractals, the Mathematics behind the Computer Graphics," Edit. Devaney and Keen, Proc. Symp. Appl. Math. 39, Amer. Math. Soc., Providence, RI, 57-74.
    • (1989) Proc. Symp. Appl. Math. , vol.39 , pp. 57-74
    • Keen, L.1
  • 136
    • 0003918560 scopus 로고
    • Noordhoff, Groningen, The Netherlands
    • A. Khintchine [1963], "Continued Fractions," Noordhoff, Groningen, The Netherlands.
    • (1963) Continued Fractions
    • Khintchine, A.1
  • 138
    • 0038518673 scopus 로고    scopus 로고
    • From the shift loci to the connectedness loci of complex polynomials
    • "Complex Geometry of Groups" (Olmué, 1998), Amer. Math. Soc., Providence, RI
    • J. Kiwi [1999], From the shift loci to the connectedness loci of complex polynomials, in "Complex Geometry of Groups" (Olmué, 1998), Contemp. Math., 240, Amer. Math. Soc., Providence, RI, 231-245.
    • (1999) Contemp. Math. , vol.240 , pp. 231-245
    • Kiwi, J.1
  • 139
  • 140
    • 0002467171 scopus 로고
    • Recherches sur les intégrales de certaines équations fonctionelles
    • e ser.) 1, supplém., 1-41.
    • (1884) e Ser.) , vol.1 , Issue.SUPPL. , pp. 1-41
    • Kœnigs, G.1
  • 142
    • 0002171839 scopus 로고
    • Sur l'itération des substitutions rationelles et les fonctions de Poincaré
    • S. Lattès [1918], Sur l'itération des substitutions rationelles et les fonctions de Poincaré, C. R. Acad. Sci. Paris 16, 26-28.
    • (1918) C. R. Acad. Sci. Paris , vol.16 , pp. 26-28
    • Lattès, S.1
  • 144
    • 0002890094 scopus 로고
    • Étude sur les equations fonctionelles à une ou plusièrs variables
    • L. Leau [1897], Étude sur les equations fonctionelles à une ou plusièrs variables, Ann. Fac. Sci. Toulouse 11, E1-E110.
    • (1897) Ann. Fac. Sci. Toulouse , vol.11
    • Leau, L.1
  • 148
    • 33644670460 scopus 로고
    • Thomas Macfarland Cherry
    • E. R. Love [1969], Thomas Macfarland Cherry, Bull. London Math. Soc. 1, 224-245.
    • (1969) Bull. London Math. Soc. , vol.1 , pp. 224-245
    • Love, E.R.1
  • 149
    • 0011547866 scopus 로고
    • Some typical properties of the dynamics of rational
    • M. Lyubich [1983a], Some typical properties of the dynamics of rational maps, Russian Math. Surveys 38, 154-155.
    • (1983) Maps, Russian Math. Surveys , vol.38 , pp. 154-155
    • Lyubich, M.1
  • 150
    • 33644681825 scopus 로고    scopus 로고
    • (See also Sov. Math. Dokl. 27, 22-25.)
    • Sov. Math. Dokl. , vol.27 , pp. 22-25
  • 151
    • 84958429271 scopus 로고
    • Entropy properties of rational endomorphisms of the Riemann sphere
    • M. Lyubich [1983b], Entropy properties of rational endomorphisms of the Riemann sphere, Ergodic Theory Dynam. Systems, 3, 351-385.
    • (1983) Ergodic Theory Dynam. Systems , vol.3 , pp. 351-385
    • Lyubich, M.1
  • 152
    • 84956267205 scopus 로고
    • The dynamics of rational transforms: The topological picture
    • M. Lyubich [1986], The dynamics of rational transforms: The topological picture, Russian Math. Surveys 41:4, 43-117.
    • (1986) Russian Math. Surveys , vol.41 , Issue.4 , pp. 43-117
    • Lyubich, M.1
  • 153
    • 0009446696 scopus 로고
    • The measurable dynamics of the exponential map
    • M. Lyubich [1987], The measurable dynamics of the exponential map, Siber. J. Math. 28, 111-127.
    • (1987) Siber. J. Math. , vol.28 , pp. 111-127
    • Lyubich, M.1
  • 154
    • 77956998786 scopus 로고    scopus 로고
    • (See also Sov. Math. Dokl. 35, 223-226.)
    • Sov. Math. Dokl. , vol.35 , pp. 223-226
  • 155
    • 0010037084 scopus 로고
    • An analysis of the stability of the dynamics of rational functions
    • Russian original published in 1984
    • M. Lyubich [1990], An analysis of the stability of the dynamics of rational functions, Selecta Math. Sovietica 9, 69-90. (Russian original published in 1984.)
    • (1990) Selecta Math. Sovietica , vol.9 , pp. 69-90
    • Lyubich, M.1
  • 156
    • 0001057166 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials I, II, III
    • M. Lyubich [1997/2000], Dynamics of quadratic polynomials I, II, III, Acta Math. 178, 185-247, 247-297,
    • (1997) Acta Math. , vol.178 , pp. 185-247
    • Lyubich, M.1
  • 157
    • 33644690936 scopus 로고    scopus 로고
    • and Astérisque 261, 173-200.
    • Astérisque , vol.261 , pp. 173-200
  • 158
    • 0033444774 scopus 로고    scopus 로고
    • Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
    • M. Lyubich [1999], Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture, Ann. of Math. 149, 319-420.
    • (1999) Ann. of Math. , vol.149 , pp. 319-420
    • Lyubich, M.1
  • 159
    • 0002029342 scopus 로고
    • Travaux d'Écalle et de Martinet-Ramis sur les systèmes dynamiques
    • e ann.
    • e ann., no 582.
    • (1981) Sém. Bourbaki , Issue.582
    • Malgrange, B.1
  • 160
    • 84985456201 scopus 로고
    • Fractal aspects of the iteration of z → λz(1 - Z) for complex λ, z
    • B. Mandelbrot [1980], Fractal aspects of the iteration of z → λz(1 - z) for complex λ, z, Annals NY. Acad. Sci. 357, 249-259.
    • (1980) Annals NY. Acad. Sci. , vol.357 , pp. 249-259
    • Mandelbrot, B.1
  • 161
    • 51249181073 scopus 로고
    • On the uniqueness of the maximizing measure for rational maps
    • R. Mañé [1983], On the uniqueness of the maximizing measure for rational maps, Bol. Soc. Brasil. Mat. 14, 27-43.
    • (1983) Bol. Soc. Brasil. Mat. , vol.14 , pp. 27-43
    • Mañé, R.1
  • 163
    • 0000545929 scopus 로고
    • Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
    • J. Martinet and J. P. Ramis [1983], Classification analytique des équations différentielles non linéaires résonnantes du premier ordre, Ann. Sci. EC. Norm. Sup. 16, 571-621.
    • (1983) Ann. Sci. EC. Norm. Sup. , vol.16 , pp. 571-621
    • Martinet, J.1    Ramis, J.P.2
  • 164
    • 0013501593 scopus 로고
    • Topological proofs of some purely topological consequences of Caratheodory's theory of prime ends
    • Edit. T. and G. Rassias, North-Holland, New York
    • J. Mather [1982], Topological proofs of some purely topological consequences of Caratheodory's theory of prime ends, in "Selected Studies," Edit. T. and G. Rassias, North-Holland, New York, 225-255.
    • (1982) Selected Studies , pp. 225-255
    • Mather, J.1
  • 165
    • 84967773772 scopus 로고
    • Area and hausdorff dimension of Julia sets of entire functions
    • C. McMullen [1987], Area and Hausdorff dimension of Julia sets of entire functions, Trans. Amer. Math. Soc. 300, 329-342.
    • (1987) Trans. Amer. Math. Soc. , vol.300 , pp. 329-342
    • McMullen, C.1
  • 166
    • 0002216065 scopus 로고
    • Automorphisms of rational maps
    • Edit. Drasin, Earle, Gehring, Kra, and Marden, Springer-Verlag, New York
    • C. McMullen [1988], Automorphisms of rational maps, in "Holomorphic Functions and Moduli I," Edit. Drasin, Earle, Gehring, Kra, and Marden, Springer-Verlag, New York, 31-60.
    • (1988) Holomorphic Functions and Moduli I , pp. 31-60
    • McMullen, C.1
  • 167
    • 0003028556 scopus 로고
    • Complex dynamics and renormalization
    • Princeton U. Press, Princeton, NJ
    • C. McMullen [1994a], "Complex Dynamics and Renormalization," Ann. Math. Studies 135, Princeton U. Press, Princeton, NJ.
    • (1994) Ann. Math. Studies , vol.135
    • McMullen, C.1
  • 168
    • 84967710257 scopus 로고
    • Frontiers in complex dynamics
    • C. McMullen [1994b], Frontiers in complex dynamics, Bull. Amer. Math. Soc. 31, 155-172.
    • (1994) Bull. Amer. Math. Soc. , vol.31 , pp. 155-172
    • McMullen, C.1
  • 169
    • 0003336695 scopus 로고    scopus 로고
    • Renormalization and 3-Manifolds which fiber over the circle
    • Princeton U. Press, Princeton, NJ
    • C. McMullen [1996], "Renormalization and 3-Manifolds which Fiber over the Circle," Ann. Math. Studies 142, Princeton U. Press, Princeton, NJ.
    • (1996) Ann. Math. Studies , vol.142
    • McMullen, C.1
  • 171
    • 0242285227 scopus 로고
    • Lectures on one dimensional dynamics
    • IMPA
    • (See also de Mélo, "Lectures on One Dimensional Dynamics," 17° Col. Brasil. Mat., IMPA, 1990.)
    • (1990) 17° Col. Brasil. Mat.
    • De Mélo1
  • 172
    • 0000269757 scopus 로고
    • On the 3-dimensional Brieskorn manifolds M(p,q,r)
    • "Knots, Groups, and 3-Manifolds," Edit. Neuwirth, Princeton U. Press, Princeton, NJ
    • J. Milnor [1975], On the 3-dimensional Brieskorn manifolds M(p,q,r), in "Knots, Groups, and 3-Manifolds," Edit. Neuwirth, Ann. Math. Studies 84, Princeton U. Press, Princeton, NJ, 175-225.
    • (1975) Ann. Math. Studies , vol.84 , pp. 175-225
    • Milnor, J.1
  • 173
    • 34250112778 scopus 로고
    • On the concept of attractor
    • J. Milnor [1985], On the concept of attractor, Comm. Math. Phys. 99, 177-195;
    • (1985) Comm. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1
  • 175
    • 0011549927 scopus 로고
    • Self-similarity and hairiness in the Mandelbrot set
    • "Computers in Geometry and Topology," Edit. Tangora, Dekker, New York
    • J. Milnor [1989], Self-similarity and hairiness in the Mandelbrot set, in "Computers in Geometry and Topology," Edit. Tangora, Lect. Notes Pure Appl. Math. 114, Dekker, New York, 211-257.
    • (1989) Lect. Notes Pure Appl. Math. , vol.114 , pp. 211-257
    • Milnor, J.1
  • 176
    • 0003083332 scopus 로고
    • Remarks on iterated cubic maps
    • J. Milnor [1992a], Remarks on iterated cubic maps, Experimental Math. 1, 5-24.
    • (1992) Experimental Math. , vol.1 , pp. 5-24
    • Milnor, J.1
  • 178
    • 84950776875 scopus 로고
    • Geometry and dynamics of quadratic rational maps
    • J. Milnor [1993], Geometry and dynamics of quadratic rational maps, Experimental Math. 2, 37-83.
    • (1993) Experimental Math. , vol.2 , pp. 37-83
    • Milnor, J.1
  • 179
    • 33644701705 scopus 로고    scopus 로고
    • The work of Curtis T. McMullen
    • January
    • J. Milnor [1999], The work of Curtis T. McMullen, Notices Amer. Math. Soc., January, 23-26.
    • (1999) Notices Amer. Math. Soc. , pp. 23-26
    • Milnor, J.1
  • 180
    • 33749557417 scopus 로고    scopus 로고
    • Periodic orbits, externals rays and the Mandelbrot set: An expository account
    • Géométrie Complexe et Systèmes Dynamiques, Colloque en l'honneur d'Adrien Douady
    • J. Milnor [2000a], Periodic orbits, externals rays and the Mandelbrot set: An expository account, in "Géométrie Complexe et Systèmes Dynamiques, Colloque en l'honneur d'Adrien Douady," Astérisque, 261, 277-333.
    • (2000) Astérisque , vol.261 , pp. 277-333
    • Milnor, J.1
  • 181
    • 0002108729 scopus 로고    scopus 로고
    • Local connectivity of Julia sets: Expository lectures
    • Edit. Tan Lei, Cambridge U. Press, Cambridge, UK
    • J. Milnor [2000b], Local connectivity of Julia sets: Expository lectures, in "The Mandelbrot Set, Theme and Variations," Edit. Tan Lei, Cambridge U. Press, Cambridge, UK, 67-116.
    • (2000) The Mandelbrot Set, Theme and Variations , pp. 67-116
    • Milnor, J.1
  • 182
    • 0034348633 scopus 로고    scopus 로고
    • Rational maps with two critical points
    • J. Milnor [2000c], Rational maps with two critical points, Experimental Math. 9, 481-522.
    • (2000) Experimental Math. , vol.9 , pp. 481-522
    • Milnor, J.1
  • 183
    • 3142676437 scopus 로고    scopus 로고
    • Pasting together Julia sets: A worked out example of mating
    • J. Milnor [2004a], Pasting together Julia sets: A worked out example of mating, Experimental Math. 13, 55-92.
    • (2004) Experimental Math. , vol.13 , pp. 55-92
    • Milnor, J.1
  • 184
    • 33644669862 scopus 로고    scopus 로고
    • On Lattès maps
    • edited by P. Hjorth and C. L. Petersen, European Math. Soc., 2006 (or Stony Brook IMS preprint ims04-01; arxiv math.DS/0402147)
    • J. Milnor [2004b], On Lattès maps, in "Dynamics on the Riemann Sphere. A Bodil Branner Festschrift", edited by P. Hjorth and C. L. Petersen, European Math. Soc., 2006 (or Stony Brook IMS preprint ims04-01; arxiv math.DS/0402147).
    • (2004) Dynamics on the Riemann Sphere. A Bodil Branner Festschrift
    • Milnor, J.1
  • 185
    • 0000848698 scopus 로고
    • Iterated maps of the interval
    • Dynamical Systems (Maryland 1986-87)," Edit. J. C. Alexander, Springer-Verlang, New York
    • J. Milnor and W. Thurston [1988], Iterated maps of the interval, in "Dynamical Systems (Maryland 1986-87)," Edit. J. C. Alexander, Lect. Notes Math. 1342, Springer-Verlang, New York, 465-563.
    • (1988) Lect. Notes Math. , vol.1342 , pp. 465-563
    • Milnor, J.1    Thurston, W.2
  • 188
    • 0242344635 scopus 로고
    • Abundance of strange attractors
    • L. Mora and M. Viana [1993], Abundance of strange attractors, Acta Math. 171, 1-71.
    • (1993) Acta Math. , vol.171 , pp. 1-71
    • Mora, L.1    Viana, M.2
  • 190
    • 0001691124 scopus 로고
    • On the solutions of quasi-linear elliptic partial differential equations
    • C. B. Morrey, Jr [1938], On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43, 126-166.
    • (1938) Trans. Amer. Math. Soc. , vol.43 , pp. 126-166
    • Morrey Jr., C.B.1
  • 192
    • 0007216375 scopus 로고
    • Topological invariants of analytic and area preserving mappings
    • V. I. Naĩshul' [1983], Topological invariants of analytic and area preserving mappings ..., Trans. Moscow Math. Soc. 42, 239-250.
    • (1983) Trans. Moscow Math. Soc. , vol.42 , pp. 239-250
    • Naĩshul, V.I.1
  • 194
    • 32044475236 scopus 로고
    • Diffeomorphisms with infinitely many sinks
    • S. Newhouse [1974], Diffeomorphisms with infinitely many sinks, Topology 16, 9-18.
    • (1974) Topology , vol.16 , pp. 9-18
    • Newhouse, S.1
  • 196
    • 33644667849 scopus 로고
    • Fantastic deterministic fractals
    • Edit. Barnsley et al., Springer-Verlag, New York
    • H.-O. Peitgen [1988], Fantastic deterministic fractals, in "The Science of Fractal Images," Edit. Barnsley et al., Springer-Verlag, New York, 169-218.
    • (1988) The Science of Fractal Images , pp. 169-218
    • Peitgen, H.-O.1
  • 198
    • 0013287622 scopus 로고
    • Solution complete au probleme de Siegel de linearisation d'une application holomorphe au voisinage d'un point fixe (d'apres J.-C. Yoccoz)
    • R. Perez-Marco [1992], Solution complete au probleme de Siegel de linearisation d'une application holomorphe au voisinage d'un point fixe (d'apres J.-C. Yoccoz), Sem. Bourbaki, no 753: Astérisque 206, 273-310.
    • (1992) Sem. Bourbaki, No 753: Astérisque , vol.206 , pp. 273-310
    • Perez-Marco, R.1
  • 199
    • 0000698811 scopus 로고    scopus 로고
    • Fixed points and circle maps
    • R. Perez-Marco [1997], Fixed points and circle maps, Acta Math. 179, 243-294.
    • (1997) Acta Math. , vol.179 , pp. 243-294
    • Perez-Marco, R.1
  • 200
    • 0000808002 scopus 로고
    • On the Pommerenke-Levin-Yoccoz inequality
    • C. L. Petersen [1993], On the Pommerenke-Levin-Yoccoz inequality, Ergodic Theory Dynam. Systems, 13, 785-806.
    • (1993) Ergodic Theory Dynam. Systems , vol.13 , pp. 785-806
    • Petersen, C.L.1
  • 201
    • 0000297708 scopus 로고    scopus 로고
    • Local connectivity of some Julia sets containing a circle with an irrational rotation
    • C. L. Petersen [1996], Local connectivity of some Julia sets containing a circle with an irrational rotation, Acta Math. 177, 163-224.
    • (1996) Acta Math. , vol.177 , pp. 163-224
    • Petersen, C.L.1
  • 202
    • 33644674655 scopus 로고    scopus 로고
    • Puzzles and Siegel disks
    • Progress in Holomorphic Dynamics Longman, Harlow
    • C. L. Petersen [1998], Puzzles and Siegel disks, in "Progress in Holomorphic Dynamics," Pitman Res. Notes Math. Ser., 387, Longman, Harlow, 50-85.
    • (1998) Pitman Res. Notes Math. Ser. , vol.387 , pp. 50-85
    • Petersen, C.L.1
  • 203
    • 2442489034 scopus 로고    scopus 로고
    • On the Julia set of a typical quadratic polynomial with a Siegel disk
    • C. L. Petersen and S. Zakeri [2004], On the Julia set of a typical quadratic polynomial with a Siegel disk, Ann. of Math. 159, 1-52.
    • (2004) Ann. of Math. , vol.159 , pp. 1-52
    • Petersen, C.L.1    Zakeri, S.2
  • 205
    • 0348063332 scopus 로고    scopus 로고
    • Rational maps with disconnected Julia set
    • Géométrie Complexe et Systèmes Dynamiques" (Orsay, 1995)
    • K. Pilgrim and Tan Lei [2000], Rational maps with disconnected Julia set, in "Géométrie Complexe et Systèmes Dynamiques" (Orsay, 1995). Astérisque 261, xiv, 349-384.
    • (2000) Astérisque , vol.261 , Issue.14 , pp. 349-384
    • Pilgrim, K.1    Lei, T.2
  • 206
    • 0000583877 scopus 로고
    • On conformal mapping and iteration of rational functions
    • C. Pommerenke [1986], On conformal mapping and iteration of rational functions, Complex Variables Theory Appl. 5, 117-126.
    • (1986) Complex Variables Theory Appl. , vol.5 , pp. 117-126
    • Pommerenke, C.1
  • 207
    • 0039802219 scopus 로고
    • Ergodic rational maps with dense critical point forward orbit
    • M. Rees [1984], Ergodic rational maps with dense critical point forward orbit, Ergodic Theory Dynam. Systems 4, 311-322.
    • (1984) Ergodic Theory Dynam. Systems , vol.4 , pp. 311-322
    • Rees, M.1
  • 208
    • 0001243305 scopus 로고
    • Positive measure sets of ergodic rational maps
    • M. Rees [1986a], Positive measure sets of ergodic rational maps, Ann. Sci. École Norm. Sup. Paris (4) 19, 383-407.
    • (1986) Ann. Sci. École Norm. Sup. Paris (4) , vol.19 , pp. 383-407
    • Rees, M.1
  • 209
    • 0038644304 scopus 로고
    • The exponential map is not recurrent
    • M. Rees [1986b], The exponential map is not recurrent, Math. Zeit. 191, 593-598.
    • (1986) Math. Zeit. , vol.191 , pp. 593-598
    • Rees, M.1
  • 210
    • 0002315151 scopus 로고
    • Components of degree two hyperbolic rational maps
    • M. Rees [1990], Components of degree two hyperbolic rational maps, Invent. Math. 100, 357-382.
    • (1990) Invent. Math. , vol.100 , pp. 357-382
    • Rees, M.1
  • 211
    • 0003075314 scopus 로고
    • A partial description of parameter space of rational maps of degree two: Part 1
    • M. Rees [1992], A partial description of parameter space of rational maps of degree two: Part 1, Acta Math. 168, 11-87.
    • (1992) Acta Math. , vol.168 , pp. 11-87
    • Rees, M.1
  • 212
    • 84959850825 scopus 로고
    • A Partial description of the parameter space of rational maps of degree two: Part 2
    • M. Rees [1995], A Partial description of the parameter space of rational maps of degree two: Part 2, Proc. London Math. Soc. 70, 644-690.
    • (1995) Proc. London Math. Soc. , vol.70 , pp. 644-690
    • Rees, M.1
  • 215
    • 0010423546 scopus 로고
    • Über die Randwerte einer analytischen Funktion
    • F. and M. Riesz [1916], Über die Randwerte einer analytischen Funktion, Quatr. Congr. Math. Scand. Stockholm, 27-44.
    • (1916) Quatr. Congr. Math. Scand. Stockholm , pp. 27-44
    • Riesz, M.1
  • 216
    • 84959812406 scopus 로고
    • On the iteration of rational functions
    • J. F. Ritt [1920], On the iteration of rational functions, Trans. Amer. Math. Soc. 21, 348-356.
    • (1920) Trans. Amer. Math. Soc. , vol.21 , pp. 348-356
    • Ritt, J.F.1
  • 217
    • 0032063255 scopus 로고    scopus 로고
    • Topologie locale des méthodes de Newton cubiques: Plan dynamique
    • P. Roesch [1998], Topologie locale des méthodes de Newton cubiques: Plan dynamique, C. R. Acad. Sci. Paris, I Math. 326, 1221-1226.
    • (1998) C. R. Acad. Sci. Paris, I Math. , vol.326 , pp. 1221-1226
    • Roesch, P.1
  • 218
    • 0032122477 scopus 로고    scopus 로고
    • Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials
    • J. T. Rogers Jr. [1998], Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials, Comm. Math. Phys. 195, 175-193.
    • (1998) Comm. Math. Phys. , vol.195 , pp. 175-193
    • Rogers Jr., J.T.1
  • 219
    • 84967712818 scopus 로고
    • Critical points on the boundaries of Siegel disks
    • (See also: Critical points on the boundaries of Siegel disks, Bull. Amer. Math. Soc. 32 [1995], 317-321.)
    • (1995) Bull. Amer. Math. Soc. , vol.32 , pp. 317-321
  • 220
    • 84956238657 scopus 로고
    • Rational approximations to algebraic numbers
    • K. F. Roth [1955], Rational approximations to algebraic numbers, Mathematika 2, 1-20, 168.
    • (1955) Mathematika , vol.2 , Issue.1-20 , pp. 168
    • Roth, K.F.1
  • 221
    • 29144437996 scopus 로고
    • Über die Iteration analytischer Funktionen
    • H. Rüssmann [1967], Über die Iteration analytischer Funktionen, J. Math. and Mech. 17, 523-532.
    • (1967) J. Math. and Mech. , vol.17 , pp. 523-532
    • Rüssmann, H.1
  • 222
    • 0002031997 scopus 로고    scopus 로고
    • Rational parameter rays of the Mandelbrot set
    • Géométrie Complexe et Systèmes Dynamiques" (Orsay, 1995).
    • D. Schleicher [2000], Rational parameter rays of the Mandelbrot set, in "Géométrie Complexe et Systèmes Dynamiques" (Orsay, 1995). Astérisque 261, xiv-xv, 405-443.
    • (2000) Astérisque , vol.261 , Issue.14-15 , pp. 405-443
    • Schleicher, D.1
  • 223
    • 0242677069 scopus 로고    scopus 로고
    • Periodic points and dynamic rays of exponential maps
    • D. Schleicher and J. Zimmer [2003], Periodic points and dynamic rays of exponential maps, Ann. Acad. Sci. Fenn. Math. 28, 327-354.
    • (2003) Ann. Acad. Sci. Fenn. Math. , vol.28 , pp. 327-354
    • Schleicher, D.1    Zimmer, J.2
  • 224
    • 34447604393 scopus 로고
    • Ueber iterirte Fanctionen
    • E. Schröder [1871], Ueber iterirte Fanctionen, Math. Ann. 3, 296-322. (Available through http://gdz.sub.uni-goettingen.de/en.)
    • (1871) Math. Ann. , vol.3 , pp. 296-322
    • Schröder, E.1
  • 226
    • 0003102176 scopus 로고
    • The topology of spaces of rational functions
    • G. Segal [1979], The topology of spaces of rational functions, Acta Math. 143, 39-72.
    • (1979) Acta Math. , vol.143 , pp. 39-72
    • Segal, G.1
  • 227
    • 0003179128 scopus 로고
    • On the quasiconformal surgery of rational functions
    • M. Shishikura [1987], On the quasiconformal surgery of rational functions, Ann. Sci. École Norm. Sup. Paris 20, 1-29.
    • (1987) Ann. Sci. École Norm. Sup. Paris , vol.20 , pp. 1-29
    • Shishikura, M.1
  • 228
    • 0032392257 scopus 로고    scopus 로고
    • The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
    • M. Shishikura [1998], The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets, Ann. of Math. 147, 225-267.
    • (1998) Ann. of Math. , vol.147 , pp. 225-267
    • Shishikura, M.1
  • 230
    • 35348998704 scopus 로고    scopus 로고
    • k
    • Complex Dynamics and Geometry Soc. Math. France, Paris; Amer. Math. Soc. 2003
    • k, in "Complex Dynamics and Geometry," SMF/AMS Texts and Monographs 10, Soc. Math. France, Paris; Amer. Math. Soc. 2003, 85-166.
    • (1999) SMF/AMS Texts and Monographs , vol.10 , pp. 85-166
    • Sibony, N.1
  • 232
    • 0000595016 scopus 로고
    • Iteration of analytic functions
    • C. L. Siegel [1942], Iteration of analytic functions, Ann. of Math. 43, 607-612.
    • (1942) Ann. of Math. , vol.43 , pp. 607-612
    • Siegel, C.L.1
  • 234
    • 84968514104 scopus 로고
    • Differentiate dynamical systems
    • S. Smale [1967], Differentiate dynamical systems, Bull. Amer. Math. Soc. 73, 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1
  • 235
    • 0012384005 scopus 로고    scopus 로고
    • Complex dynamics in several variables; with notes by G. T. Buzzard
    • Flavors of Geometry, Cambridge U. Press, Cambridge, UK
    • J. Smillie [1997], Complex dynamics in several variables; with notes by G. T. Buzzard, in "Flavors of Geometry," Math. Sci. Res. Inst. Publ. 31, Cambridge U. Press, Cambridge, UK, 117-150.
    • (1997) Math. Sci. Res. Inst. Publ. , vol.31 , pp. 117-150
    • Smillie, J.1
  • 238
    • 0000624194 scopus 로고
    • Conformal dynamical systems
    • "Geometric Dynamics," Edit. Palis, Springer-Verlag, New York
    • D. Sullivan [1983], Conformal dynamical systems, in "Geometric Dynamics," Edit. Palis, Lecture Notes Math. 1007, Springer-Verlag, New York, 725-752.
    • (1983) Lecture Notes Math. , vol.1007 , pp. 725-752
    • Sullivan, D.1
  • 239
    • 0000696635 scopus 로고
    • Quasiconformal homeomorphisms and dynamics I: Solution of the Fatou-Julia problem on wandering domains
    • D. Sullivan [1985], Quasiconformal homeomorphisms and dynamics I: Solution of the Fatou-Julia problem on wandering domains, Ann. Math. 122, 401-418.
    • (1985) Ann. Math. , vol.122 , pp. 401-418
    • Sullivan, D.1
  • 240
    • 0031460119 scopus 로고    scopus 로고
    • Branched coverings and cubic Newton maps
    • Tan Lei [1997], Branched coverings and cubic Newton maps, Fund. Math. 154, 207-226.
    • (1997) Fund. Math. , vol.154 , pp. 207-226
    • Lei, T.1
  • 241
    • 0002382991 scopus 로고    scopus 로고
    • Local connectivity of the Julia set for geometrically finite rational maps
    • Tan Lei and Y. Yin [1996], Local connectivity of the Julia set for geometrically finite rational maps, Science in China A 39, 39-47.
    • (1996) Science in China A , vol.39 , pp. 39-47
    • Lei, T.1    Yin, Y.2
  • 242
    • 0003362268 scopus 로고    scopus 로고
    • Three-dimensional geometry and topology, vol. 1
    • Edit. S. Levy, Princeton U. Press, Princeton, NJ
    • W. Thurston [1997], "Three-dimensional Geometry and Topology, Vol. 1," Edit. S. Levy, Princeton Mathematical Series 35, Princeton U. Press, Princeton, NJ.
    • (1997) Princeton Mathematical Series , vol.35
    • Thurston, W.1
  • 243
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the Entscheidungsproblem
    • A. Turing [1936-37], On computable numbers, with an application to the Entscheidungsproblem, Proc. London Math. Soc. 42, 230-265;
    • (1936) Proc. London Math. Soc. , vol.42 , pp. 230-265
    • Turing, A.1
  • 245
    • 0003983574 scopus 로고
    • Edit. M. Davis, Raven Press
    • (Also in "The Undecidable," Edit. M. Davis, Raven Press, 1995
    • (1995) The Undecidable
  • 246
    • 0003913605 scopus 로고
    • North-Holland, New York
    • and in Turing's "Collected Works," North-Holland, New York, 1992.)
    • (1992) Collected Works
    • Turing1
  • 247
    • 84972569430 scopus 로고
    • Fatou sets in complex dynamics on projective spaces
    • T. Ueda [1994], Fatou sets in complex dynamics on projective spaces, J. Math. Soc. Japan 46, 545-555.
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 545-555
    • Ueda, T.1
  • 248
    • 33644691938 scopus 로고
    • Complex dynamics on projective spaces: Index formula for fixed points
    • (Hachioji, 1994), World Scientific, River Edge, NJ
    • T. Ueda [1995], Complex dynamics on projective spaces: Index formula for fixed points, in "Dynamical Systems and Chaos, Vol. 1" (Hachioji, 1994), World Scientific, River Edge, NJ, 252-259.
    • (1995) Dynamical Systems and Chaos , vol.1 , pp. 252-259
    • Ueda, T.1
  • 249
    • 52449146403 scopus 로고    scopus 로고
    • Critical orbits of holomorphic maps on projective spaces
    • T. Ueda [1998], Critical orbits of holomorphic maps on projective spaces, J. Geom. Anal. 8, 319-334.
    • (1998) J. Geom. Anal. , vol.8 , pp. 319-334
    • Ueda, T.1
  • 250
    • 0001591606 scopus 로고
    • On combinations of stochastic and deterministic processes
    • S. Ulam and J. von Neumann [1947], On combinations of stochastic and deterministic processes, Bull. Amer. Math. Soc. 53, 1120.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 1120
    • Ulam, S.1    Von Neumann, J.2
  • 251
    • 34250248187 scopus 로고
    • Analytic classification of germs of conformal maps (ℂ, 0) → (ℂ, 0) with identity linear part
    • S. M. Voronin [1981], Analytic classification of germs of conformal maps (ℂ, 0) → (ℂ, 0) with identity linear part, Funct. Anal. Appl. 15, 1-17.
    • (1981) Funct. Anal. Appl. , vol.15 , pp. 1-17
    • Voronin, S.M.1
  • 254
    • 0033483410 scopus 로고    scopus 로고
    • Complex bounds for renormalization of critical circle maps
    • M. Yampolsky [1999], Complex bounds for renormalization of critical circle maps, Ergodic Theory Dynam. Systems 19, 227-257.
    • (1999) Ergodic Theory Dynam. Systems , vol.19 , pp. 227-257
    • Yampolsky, M.1
  • 255
    • 0035605968 scopus 로고    scopus 로고
    • Mating Siegel quadratic polynomials
    • M. Yampolsky and S. Zakeri [2001], Mating Siegel quadratic polynomials, J. Amer. Math. Soc. 14, 25-78.
    • (2001) J. Amer. Math. Soc. , vol.14 , pp. 25-78
    • Yampolsky, M.1    Zakeri, S.2
  • 256
    • 0000195810 scopus 로고
    • Conjugation différentiate des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
    • J.-C. Yoccoz [1984], Conjugation différentiate des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne, Ann. Sci. École Norm. Sup. Paris (4) 17, 333-359.
    • (1984) Ann. Sci. École Norm. Sup. Paris (4) , vol.17 , pp. 333-359
    • Yoccoz, J.-C.1
  • 257
    • 0002867478 scopus 로고
    • Linéarisation des germes de difféomorphismes holomorphes de (C,0)
    • J.-C. Yoccoz [1988], Linéarisation des germes de difféomorphismes holomorphes de (C,0), C. R. Acad. Sci. Paris 306, 55-58.
    • (1988) C. R. Acad. Sci. Paris , vol.306 , pp. 55-58
    • Yoccoz, J.-C.1
  • 258
    • 0002419166 scopus 로고
    • Petits Diviseurs en Dimension 1
    • Soc. Math. France, Paris
    • J.-C. Yoccoz [1995], Petits Diviseurs en Dimension 1, Astérisque 231, Soc. Math. France, Paris.
    • (1995) Astérisque , vol.231
    • Yoccoz, J.-C.1
  • 259
    • 84924130044 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials
    • "Complex Dynamics and Geometry," Soc. Math. France, Paris; Amer. Math. Soc., 2003
    • J.-C. Yoccoz [1999/2003], Dynamics of quadratic polynomials, in "Complex Dynamics and Geometry," SMF/AMS Texts and Monographs 10, Soc. Math. France, Paris; Amer. Math. Soc., 2003, 167-197.
    • (1999) SMF/AMS Texts and Monographs , vol.10 , pp. 167-197
    • Yoccoz, J.-C.1
  • 261
    • 2942654549 scopus 로고    scopus 로고
    • Analytic linearization of circle diffeomorphisms
    • "Dynamical Systems and Small Divisors" (Cetraro, 1998). Springer-Verlag, Berlin
    • J.-C. Yoccoz [2002], Analytic linearization of circle diffeomorphisms, in "Dynamical Systems and Small Divisors (Cetraro, 1998). Lecture Notes in Math. 1784, 125-173, Springer-Verlag, Berlin.
    • (2002) Lecture Notes in Math. , vol.1784 , pp. 125-173
    • Yoccoz, J.-C.1
  • 262
    • 0033239027 scopus 로고    scopus 로고
    • Dynamics of cubic Siegel polynomials
    • S. Zakeri [1999], Dynamics of cubic Siegel polynomials, Comm. Math. Phys. 206, 185-233.
    • (1999) Comm. Math. Phys. , vol.206 , pp. 185-233
    • Zakeri, S.1
  • 263
    • 0012419348 scopus 로고
    • A simple proof of a generalization of a theorem by C. L. Siegel
    • Geometry and Topology III," Edit, do Carmo and Palis, Springer-Verlag, New York
    • E. Zehnder [1977], A simple proof of a generalization of a theorem by C. L. Siegel, in "Geometry and Topology III," Edit, do Carmo and Palis, Lecture Notes Math. 597, Springer-Verlag, New York, 855-866.
    • (1977) Lecture Notes Math. , vol.597 , pp. 855-866
    • Zehnder, E.1


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