Rigidity of C2 infinitely renormalizable unimodal maps

被引：16

作者：

de Melo, W ^{[1
]}

Pinto, AA

机构：

[1] IMPA, Rio De Janeiro, Brazil

[2] Univ Porto, Fac Ciencias, DMA, P-4000 Porto, Portugal

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 208卷 / 01期

关键词：

Combinatorial Type; Forward Orbit; Quadratic Critical Point;

D O I：

10.1007/s002200050749

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Given C-2 infinitely renormalizable unimodal maps f and g with a quadratic critical point and the same bounded combinatorial type, we prove that they are C1+alpha conjugate along the closure of the corresponding forward orbits of the critical points, for some alpha > 0.

引用

页码：91 / 105

页数：15

共 22 条

[1] RIEMANNS MAPPING THEOREM FOR VARIABLE METRICS [J].

AHLFORS, L ;

BERS, L .

ANNALS OF MATHEMATICS, 1960, 72 (02) :385-404

[2]

Ahlfors L.V., 1966, LECT QUASICONFORMAL

[3]

[Anonymous], 1978, THE J

[4]

DEFARIA E, 1997, 199716 IMS

[5]

DEMELO W, 1998, P INT C MATH BERL, P765

[6]

DOUADY A, 1985, ANN SCI ECOLE NORM S, V18, P287

[7]

DOUADY A, 1995, SEM BOURB NOV 93, V5, P227

[8] QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].

FEIGENBAUM, MJ .

JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52

[9]

Lehto O., 1966, GRUNDLEHREN MATH WIS

[10]

Lehto O., 1987, GRADUATE TEXT MATH, V109

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