Thermodynamic formalism and singular invariant measures for critical circle maps

被引：5

作者：

Dzhalilov, AA ^{[1
]}

机构：

[1] Samarkand State Univ, Samarkand, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2003年 / 134卷 / 02期

关键词：

circle homeomorphism; critical point; thermodynamic formalism; Holder index;

D O I：

10.1023/A:1022271903129

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

As is well known, the renormalization group transformation in the space of analytic circle homeomorphisms with one cubic critical point and rotation number equal to the "golden section" has a single fixed point T-0. We construct the thermodynamic formalism for the critical map T-0 and use it to calculate the Holder indices for the singular invariant measure of T-0.

引用

页码：166 / 180

页数：15

共 14 条

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[Anonymous], MODERN PROBLEMS ERGO

[2]

BOWEN R, 1979, METHODS SYMBOLIC DYN

[3] DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].