AN EXTENSION OF THE THEOREM OF MILNOR AND THURSTON ON THE ZETA-FUNCTIONS OF INTERVAL MAPS

被引：31

作者：

BALADI, V

RUELLE, D

机构：

[1] ENS LYON,UMPA,CNRS,UMR 128,F-69364 LYON 07,FRANCE

[2] INST HAUTES ETUDES SCI,F-91440 BURES SUR YVETTE,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1994年 / 14卷

关键词：

D O I：

10.1017/S0143385700008087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a piecewise continuous, piecewise monotone interval map and a piecewise constant weight. With these data we associate a weighted kneading matrix which generalizes the Milnor-Thurston matrix. We show that the determinant of this matrix is related to a natural weighted zeta function.

引用

页码：621 / 632

页数：12

共 11 条

[1] ZETA-FUNCTIONS AND TRANSFER OPERATORS FOR PIECEWISE MONOTONE TRANSFORMATIONS [J].