-
4
-
-
0001190134
-
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
-
7
-
-
0000711745
-
Riddled basins
-
J. C. Alexander, I. Kan, J. Yorke, and Z. You [1992], Riddled basins, Int. J. Bifurcation and Chaos 2, 795-813.
-
(1992)
Int. J. Bifurcation and Chaos
, vol.2
, pp. 795-813
-
-
Alexander, J.C.1
Kan, I.2
Yorke, J.3
You, Z.4
-
8
-
-
0000071902
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
-
46
-
-
0030537370
-
Wild Cantor attractors exist
-
H. Bruin, G. Keller, T. Nowicki, and S. van Strien [1996], Wild Cantor attractors exist, Annals of Math. 143, 97-130.
-
(1996)
Annals of Math.
, vol.143
, pp. 97-130
-
-
Bruin, H.1
Keller, G.2
Nowicki, T.3
Van Strien, S.4
-
47
-
-
0004945477
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
Addison-Wesley, Reading, MA
-
nd Ed., Addison-Wesley, Reading, MA.
-
(1989)
nd Ed.
-
-
Devaney, R.1
-
71
-
-
22544474361
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
English translation
-
English translation in Ukrainian Math. J. [1989/1990] 41, 1258-1262.
-
(1989)
Ukrainian Math. J.
, vol.41
, pp. 1258-1262
-
-
-
86
-
-
0000490626
-
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
-
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
-
-
(See also Sov. Math. Dokl. [1984] 30, 592-594;
-
(1984)
Sov. Math. Dokl.
, vol.30
, pp. 592-594
-
-
-
89
-
-
33644687504
-
-
Funct. Anal. Appl. [1985] 19, 323-324;
-
(1985)
Funct. Anal. Appl.
, vol.19
, pp. 323-324
-
-
-
90
-
-
0000923548
-
-
and J. Lond. Math. Soc. [1987] 36, 458-468.)
-
(1987)
J. Lond. Math. Soc.
, vol.36
, pp. 458-468
-
-
-
93
-
-
0000336007
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
109
-
-
0001776020
-
Homology and Dynamical Systems
-
Amer. Math. Soc., Providence, RI
-
J. Franks [1982], "Homology and Dynamical Systems," Conference Board Math. Sci., Regional Conference 49, Amer. Math. Soc., Providence, RI.
-
(1982)
Conference Board Math. Sci., Regional Conference
, vol.49
-
-
Franks, J.1
-
110
-
-
51249186219
-
An invariant measure for rational maps
-
A. Freire, A. Lopes, and R. Mane [1983], An invariant measure for rational maps, Bol. Soc. Brasil. Mat. 14, 45-62.
-
(1983)
Bol. Soc. Brasil. Mat.
, vol.14
, pp. 45-62
-
-
Freire, A.1
Lopes, A.2
Mane, R.3
-
111
-
-
84974281116
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
Noordhoff, Groningen, The Netherlands
-
A. Khintchine [1963], "Continued Fractions," Noordhoff, Groningen, The Netherlands.
-
(1963)
Continued Fractions
-
-
Khintchine, A.1
-
138
-
-
0038518673
-
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
-
-
0002005175
-
Über die Uniformizierung beliebiger analytischer Kurven
-
P. Koebe [1907], Über die Uniformizierung beliebiger analytischer Kurven, Nachr. Akad. Wiss. Göttingen, Math.-Phys. KL, 191-210.
-
(1907)
Nachr. Akad. Wiss. Göttingen, Math.-Phys. KL
, pp. 191-210
-
-
Koebe, P.1
-
140
-
-
0002467171
-
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
-
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
-
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
-
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
-
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
-
-
(See also Sov. Math. Dokl. 27, 22-25.)
-
Sov. Math. Dokl.
, vol.27
, pp. 22-25
-
-
-
151
-
-
84958429271
-
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
-
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
-
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
-
-
(See also Sov. Math. Dokl. 35, 223-226.)
-
Sov. Math. Dokl.
, vol.35
, pp. 223-226
-
-
-
155
-
-
0010037084
-
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
-
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
-
-
and Astérisque 261, 173-200.
-
Astérisque
, vol.261
, pp. 173-200
-
-
-
158
-
-
0033444774
-
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
-
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
-
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
-
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
-
162
-
-
0000155495
-
On the dynamics of rational maps
-
R. Mañé, P. Sad, and D. Sullivan [1983], On the dynamics of rational maps, Ann. Sci. École Norm. Sup. Paris (4) 16, 193-217.
-
(1983)
Ann. Sci. École Norm. Sup. Paris (4)
, vol.16
, pp. 193-217
-
-
Mañé, R.1
Sad, P.2
Sullivan, D.3
-
163
-
-
0000545929
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
189
-
-
0005274579
-
Holomorphic Dynamics
-
Cambridge U. Press, Cambridge, UK
-
S. Morosawa, Y. Nishimura, M. Taninguchi, and T. Ueda [2000], "Holomorphic Dynamics," Cambridge Studies in Advanced Mathematics 66, Cambridge U. Press, Cambridge, UK.
-
(2000)
Cambridge Studies in Advanced Mathematics
, vol.66
-
-
Morosawa, S.1
Nishimura, Y.2
Taninguchi, M.3
Ueda, T.4
-
190
-
-
0001691124
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
Edit. M. Davis, Raven Press
-
(Also in "The Undecidable," Edit. M. Davis, Raven Press, 1995
-
(1995)
The Undecidable
-
-
-
246
-
-
0003913605
-
-
North-Holland, New York
-
and in Turing's "Collected Works," North-Holland, New York, 1992.)
-
(1992)
Collected Works
-
-
Turing1
-
247
-
-
84972569430
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
|