메뉴 건너뛰기




Volumn 6, Issue 3-4, 1999, Pages 293-305

Scaling ratios and triangles in Siegel disks

Author keywords

Holomorphic dynamics; Self similarity; Siegel disk

Indexed keywords


EID: 0033245864     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1999.v6.n3.a4     Document Type: Article
Times cited : (5)

References (12)
  • 1
    • 0001146280 scopus 로고
    • On boundaries of Teichmüller spaces and on Kleinian groups
    • [B] L. Bers, On Boundaries of Teichmüller spaces and on Kleinian groups, Annals of Math. (2) 91 (1970), 570-600.
    • (1970) Annals of Math. , vol.91 , Issue.2 , pp. 570-600
    • Bers, L.1
  • 2
    • 0000195443 scopus 로고
    • Disques de Siegel et anneaux de Herman
    • [D] A. Douady, Disques de Siegel et anneaux de Herman, Séminaire Bourbaki, Astérisque 152-153 (1986/87), 151-172.
    • (1986) Séminaire Bourbaki, Astérisque , vol.152-153 , pp. 151-172
    • Douady, A.1
  • 5
    • 0000419598 scopus 로고
    • Universal scaling behavior for iterated maps in the complex plane
    • [MN] N.S. Manton and M. Nauenberg, Universal scaling behavior for iterated maps in the complex plane, Comm. Math. Phys. 89 (1983), 555-570.
    • (1983) Comm. Math. Phys. , vol.89 , pp. 555-570
    • Manton, N.S.1    Nauenberg, M.2
  • 6
    • 0003028556 scopus 로고
    • Complex dynamics and renormalization
    • Princeton University Press, Princeton, NJ
    • [McM1] C.T. McMullen, Complex dynamics and renormalization, Annals of Mathematics Studies, 135., Princeton University Press, Princeton, NJ, 1994.
    • (1994) Annals of Mathematics Studies , pp. 135
    • McMullen, C.T.1
  • 7
    • 0000858996 scopus 로고    scopus 로고
    • Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
    • [McM2] -, Self-similarity of Siegel disks and Hausdorff dimension of Julia sets, Acta Math. 180 (1998), 247-292.
    • (1998) Acta Math. , vol.180 , pp. 247-292
  • 8
    • 0000804320 scopus 로고
    • Iteration on Teichmüller space
    • [McM3] -, Iteration on Teichmüller space, Inv. Math. 99 (1989), 425-454.
    • (1989) Inv. Math. , vol.99 , pp. 425-454
  • 9
    • 0000297708 scopus 로고    scopus 로고
    • Local connectivity of some Julia sets containing a circle with an irrational rotation
    • [P] C.L. Petersen, Local connectivity of some Julia sets containing a circle with an irrational rotation, Acta Math. 177 (1996), 163-224.
    • (1996) Acta Math. , vol.177 , pp. 163-224
    • Petersen, C.L.1
  • 10
    • 0000595016 scopus 로고
    • Iteration of analytic functions
    • [Si] C.L. Siegel, Iteration of analytic functions, Ann. of math. (2) 43 (1942), 607-612.
    • (1942) Ann. of Math. , vol.43 , Issue.2 , pp. 607-612
    • Siegel, C.L.1
  • 11
    • 0001490522 scopus 로고
    • Rational rotation numbers for maps of the circle
    • [Sw] G. Świa̧tek, Rational rotation numbers for maps of the circle, Comm. Math. Phys. 119 (1988), 109-128.
    • (1988) Comm. Math. Phys. , vol.119 , pp. 109-128
    • Świa̧tek, G.1
  • 12
    • 0001329401 scopus 로고
    • Renormalization group analysis of quasi-periodicity in analytic maps
    • [W] M. Widom, Renormalization group analysis of quasi-periodicity in analytic maps, Comm. Math. Phys. 92 (1983), 121-136.
    • (1983) Comm. Math. Phys. , vol.92 , pp. 121-136
    • Widom, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.