메뉴 건너뛰기




Volumn 13, Issue 1, 2004, Pages 55-92

Pasting together julia sets: A worked out example of mating

Author keywords

Fractaltiling; Julia set; Lattes map

Indexed keywords


EID: 3142676437     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2004.10504523     Document Type: Article
Times cited : (48)

References (34)
  • 2
    • 0043150666 scopus 로고    scopus 로고
    • Home- omorphisms Between Limbs of the Mandelbrot Set
    • B. Branner and N. Fagella. “Home- omorphisms Between Limbs of the Mandelbrot Set.” Journal Geometric Analysis 9 (1999), 327-390.
    • (1999) Journal Geometric Analysis , vol.9 , pp. 327-390
    • Branner, B.1    Fagella, N.2
  • 3
    • 84950357804 scopus 로고
    • Invariant Sets Under Iteration of Rational Functions
    • H. Brolin. “Invariant Sets Under Iteration of Rational Functions.” Arkiv für Math. 6 (1965), 103-144.
    • (1965) Arkiv für Math , vol.6 , pp. 103-144
    • Brolin, H.1
  • 6
    • 0006599685 scopus 로고
    • Number Representations and Dragon Curves
    • C. Davis and D. E. Knuth. “Number Representations and Dragon Curves.” J. Recreational Math. 3 (1965), 66-81.
    • (1965) J. Recreational Math. , vol.3 , pp. 66-81
    • Davis, C.1    Knuth, D.E.2
  • 7
    • 0009068559 scopus 로고
    • Systèmes Dynamiques Holomorphes
    • e année, n° 599, Asterisque. Paris: Soc. Math, de France
    • e année, n° 599, Volume 105-6, pp. 39-63, Asterisque. Paris: Soc. Math, de France, 1983.
    • (1983) Séminar Bourbaki , vol.105-6 , pp. 39-63
    • Douady, A.1
  • 8
    • 0003023968 scopus 로고
    • Algorithms for Computing Angles in the Mandelbrot Set
    • New York: Academic Press
    • A. Douady. “Algorithms for Computing Angles in the Mandelbrot Set.” In Chaotic Dynamics and Fractals, pp. 155-168. New York: Academic Press, 1986
    • (1986) Chaotic Dynamics and Fractals , pp. 155-168
    • Douady, A.1
  • 9
    • 0002725814 scopus 로고
    • Descriptions of Compact Sets in C
    • Houston: Publish or Perish
    • A. Douady. “Descriptions of Compact Sets in C.” In Topological Methods in Modem Mathematics, pp. 429-465. Houston: Publish or Perish, 1993.
    • (1993) Topological Methods in Modem Mathematics , pp. 429-465
    • Douady, A.1
  • 10
    • 0002822579 scopus 로고
    • Conformally Natural Extension of Homeomorphisms of the Circle
    • A. Douady and C. Earle. “Conformally Natural Extension of Homeomorphisms of the Circle.” Acta Math. 157 (1986), 23-48.
    • (1986) Acta Math , vol.157 , pp. 23-48
    • Douady, A.1    Earle, C.2
  • 11
    • 33846181504 scopus 로고
    • A Proof of Thurstons Topological Characterization of Rational Functions
    • A. Douady and J. H. Hubbard. “A Proof of Thurston’s Topological Characterization of Rational Functions.” Acta Math. 171 (1993), 263-297
    • (1993) Acta Math , vol.171 , pp. 263-297
    • Douady, A.1    Hubbard, J.H.2
  • 14
    • 0001856454 scopus 로고
    • Fixed Points of Polynomial Maps. II. Fixed Point Portraits
    • L. R. Goldberg and J. Milnor. “Fixed Points of Polynomial Maps. II. Fixed Point Portraits.” Ann. Sci. Ecole Norm. Sup. (4), 26:1 (1993), 51-98.
    • (1993) Ann. Sci. Ecole Norm. Sup. (4) , vol.26 , Issue.1 , pp. 51-98
    • Goldberg, L.R.1    Milnor, J.2
  • 16
    • 0030556295 scopus 로고    scopus 로고
    • The Construction of Self-Similar Tilings
    • R. Kenyon. “The Construction of Self-Similar Tilings.” Geom. Funct. Anal. 6 (1996), 471-488.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 471-488
    • Kenyon, R.1
  • 17
    • 0002171839 scopus 로고
    • Sur Literation des Substitutions Ra-tionelles et les Fonctions de Poincaré
    • S. Lattès. “Sur L’iteration des Substitutions Ra-tionelles et les Fonctions de Poincaré.” C. R. Acad. Sci. Paris 16 (1918), 26-28.
    • (1918) C. R. Acad. Sci. Paris , vol.16 , pp. 26-28
    • Lattès, S.1
  • 19
    • 84958429271 scopus 로고
    • Entropy Properties of Rational Endomorphisms of the Riemannn Sphere
    • M. Lyubich. “Entropy Properties of Rational Endomorphisms of the Riemannn Sphere.” Ergodic Th. Dyn. Sys. 3 (1983), 351-385.
    • (1983) Ergodic Th. Dyn. Sys. , vol.3 , pp. 351-385
    • Lyubich, M.1
  • 20
    • 0007084460 scopus 로고
    • Renormalization Ideas in Confor-mal Dynamics
    • edited by Bott, Jaffe, and Yau, Cambridge, MA: International Press
    • M. Lyubich. “Renormalization Ideas in Confor-mal Dynamics.” In Current Developments in MathematicSy edited by Bott, Jaffe, and Yau, pp. 26-28. Cambridge, MA: International Press, 1995.
    • (1995) Current Developments in Mathematicsy , pp. 26-28
    • Lyubich, M.1
  • 21
    • 84950776875 scopus 로고
    • Geometry and Dynamics of Quadratic Rational Maps
    • J. Milnor. “Geometry and Dynamics of Quadratic Rational Maps.” Exp. Math 2 (1993), 37-83.
    • (1993) Exp. Math , vol.2 , pp. 37-83
    • Milnor, J.1
  • 22
    • 3142736214 scopus 로고
    • Thurstons Algorithm Without Critical Finiteness?
    • edited by V. P. Havin and N. K. Nikolskii, New York: Springer
    • J. Milnor. “Thurston’s Algorithm Without Critical Finiteness?” In Linear and Complex Analysis Problem Book 3, Volume II, edited by V. P. Havin and N. K. Nikolskii, pp. 263-297. New York: Springer, 1994.
    • (1994) Linear and Complex Analysis Problem Book 3 , vol.2 , pp. 263-297
    • Milnor, J.1
  • 24
    • 33749557417 scopus 로고    scopus 로고
    • Periodic Orbits, External Rays and the Mandelbrot Set
    • J. Milnor. “Periodic Orbits, External Rays and the Mandelbrot Set.” Astérisque 261 (2000), 277-333.
    • (2000) Astérisque , vol.261 , pp. 277-333
    • Milnor, J.1
  • 25
    • 0000427353 scopus 로고
    • Concerning Upper Semi-Continuous Collections of Continua
    • R. L. Moore. “Concerning Upper Semi-Continuous Collections of Continua.” Trans. Amer. Math. Soc 27 (1925), 416-428.
    • (1925) Trans. Amer. Math. Soc , vol.27 , pp. 416-428
    • Moore, R.L.1
  • 27
    • 0003075314 scopus 로고
    • A Partial Description of the Parameter Space of Rational Maps of Degree Two: Part 1
    • M. Rees. “A Partial Description of the Parameter Space of Rational Maps of Degree Two: Part 1.” Acta Math. 168 (1992), 11-87.
    • (1992) Acta Math , vol.168 , pp. 11-87
    • Rees, M.1
  • 28
  • 29
    • 0034349038 scopus 로고    scopus 로고
    • A Family of Cubic Rational Maps and Matings of Cubic Polynomials
    • M. Shishikura and Tan Lei. “A Family of Cubic Rational Maps and Matings of Cubic Polynomials.” Exp. Math. 9 (2000), 3-53.
    • (2000) Exp. Math. , vol.9 , pp. 3-53
    • Shishikura, M.1    Lei, T.2
  • 30
    • 84972048001 scopus 로고
    • Matings of Quadratic Polynomials
    • Tan Lei. “Matings of Quadratic Polynomials.” Ergodic Th. Dyn. Sys. 12 (1990), 589-620.
    • (1990) Ergodic Th. Dyn. Sys. , vol.12 , pp. 589-620
    • Lei, T.1
  • 31
    • 34249963080 scopus 로고    scopus 로고
    • Similarity Between the Mandelbrot Set and Julia Sets
    • Tan Lei. “Similarity Between the Mandelbrot Set and Julia Sets.” Comm. Math. Phys. 134 (2000), 23-53.
    • (2000) Comm. Math. Phys. , vol.134 , pp. 23-53
    • Lei, T.1
  • 33
    • 0035605968 scopus 로고    scopus 로고
    • Mating Siegel Quadratic Polynomials
    • M. Yampolsky and S. Zakeri. “Mating Siegel Quadratic Polynomials.” J. Amer. Math. Soc. 14 (2001), 25-78.
    • (2001) J. Amer. Math. Soc. , vol.14 , pp. 25-78
    • Yampolsky, M.1    Zakeri, S.2
  • 34
    • 0034367826 scopus 로고    scopus 로고
    • Biaccessibility in Quadratic Julia Sets
    • S. Zakeri. “Biaccessibility in Quadratic Julia Sets.” Ergodic Th. Dyn. Sys. 20 (2000), 1859-1883.
    • (2000) Ergodic Th. Dyn. Sys. , vol.20 , pp. 1859-1883
    • Zakeri, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.