메뉴 건너뛰기




Volumn 13, Issue 2, 2000, Pages 343-370

Rigidity of critical circle mappings II

Author keywords

Complex bounds; Holomorphic pairs; Rigidity; Uniform twist

Indexed keywords


EID: 0034376171     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-99-00324-0     Document Type: Article
Times cited : (86)

References (16)
  • 2
    • 0033425820 scopus 로고    scopus 로고
    • Asymptotic rigidity of scaling ratios for critical circle mappings
    • E. de Faria, Asymptotic rigidity of scaling ratios for critical circle mappings, Ergod. Th. & Dynam. Sys. 19 (1999), 995-1035.
    • (1999) Ergod. Th. & Dynam. Sys. , vol.19 , pp. 995-1035
    • De Faria, E.1
  • 4
    • 0037538594 scopus 로고    scopus 로고
    • Critical circle maps near bifurcation
    • MR 96j:58053
    • J. Graczyk and G. Świa̧tek, Critical circle maps near bifurcation, Commun. Math. Phys. 176 (1996), 227-260. MR 96j:58053
    • (1996) Commun. Math. Phys. , vol.176 , pp. 227-260
    • Graczyk, J.1    Świa̧tek, G.2
  • 5
    • 51249187032 scopus 로고
    • Sur la conjugaison differentiate des difféomorphismes du cercle a des rotations
    • MR 81h:58039
    • M. Herman, Sur la conjugaison differentiate des difféomorphismes du cercle a des rotations, Publ. Math. IHES 49 (1979), 5-234. MR 81h:58039
    • (1979) Publ. Math. IHES , vol.49 , pp. 5-234
    • Herman, M.1
  • 7
    • 0007082790 scopus 로고
    • Dynamics of holomorphic self-maps of ℂ*
    • Eds. D. Drasin et al., Springer-Verlag, New York, MR 90e:58075
    • L. Keen, Dynamics of holomorphic self-maps of ℂ*, Holomorphic Functions and Moduli I, Eds. D. Drasin et al., Springer-Verlag, New York, 1988. MR 90e:58075
    • (1988) Holomorphic Functions and Moduli , vol.1
    • Keen, L.1
  • 8
    • 0031516893 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials: Complex bounds for real maps
    • (Grenoble) MR 98m:58113
    • M. Lyubich and M. Yampolsky, Dynamics of quadratic polynomials: complex bounds for real maps, Ann. Inst. Fourier (Grenoble) 47 (1997), 1219-1255. MR 98m:58113
    • (1997) Ann. Inst. Fourier , vol.47 , pp. 1219-1255
    • Lyubich, M.1    Yampolsky, M.2
  • 9
    • 0003028556 scopus 로고
    • Complex dynamics and renormalization
    • MR 96b:58097
    • C. McMullen, Complex dynamics and renormalization, Annals of Math. Studies 135 (1994). MR 96b:58097
    • (1994) Annals of Math. Studies , vol.135
    • McMullen, C.1
  • 10
    • 0003336695 scopus 로고    scopus 로고
    • Renormalization and 3-manifolds which fiber over the circle
    • MR 97f:57022
    • _, Renormalization and 3-manifolds which fiber over the circle, Annals of Math. Studies 142 (1996). MR 97f:57022
    • (1996) Annals of Math. Studies , vol.142
  • 11
    • 0000858996 scopus 로고    scopus 로고
    • Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
    • MR 99f:58172
    • _, Self-similarity of Siegel disks and Hausdorff dimension of Julia sets, Acta Math. 180 (1998), 247-292. MR 99f:58172
    • (1998) Acta Math. , vol.180 , pp. 247-292
  • 13
    • 0000419015 scopus 로고
    • Bounds, quadratic differentials and renormalization conjectures
    • Amer. Math. Soc. Centennial Publication, Amer. Math. Soc., Providence, RI, MR 93k:58194
    • D. Sullivan, Bounds, quadratic differentials and renormalization conjectures, Mathematics into the Twenty-First Century, Amer. Math. Soc. Centennial Publication, vol.2, Amer. Math. Soc., Providence, RI, 1991. MR 93k:58194
    • (1991) Mathematics into the Twenty-First Century , vol.2
    • Sullivan, D.1
  • 14
    • 0001490522 scopus 로고
    • Rational rotation numbers for maps of the circle
    • MR 90h:58077
    • G. Świa̧tek, Rational rotation numbers for maps of the circle, Commun. Math. Phys. 119 (1988), 109-128. MR 90h:58077
    • (1988) Commun. Math. Phys. , vol.119 , pp. 109-128
    • Świa̧tek, G.1
  • 15
    • 0033483410 scopus 로고    scopus 로고
    • Complex bounds for critical circle maps
    • CMP 99:09
    • M. Yampolsky, Complex bounds for critical circle maps, Ergod. Th. & Dynam. Sys. 19 (1999), 227-257. CMP 99:09
    • (1999) Ergod. Th. & Dynam. Sys. , vol.19 , pp. 227-257
    • Yampolsky, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.