ZETA-FUNCTIONS AND TRANSFER OPERATORS FOR PIECEWISE MONOTONE TRANSFORMATIONS

被引：79

作者：

BALADI, V

KELLER, G

机构：

[1] UNIV HEIDELBERG,INST ANGEW MATH,W-6900 HEIDELBERG 1,GERMANY

[2] UNIV HEIDELBERG,SFB 123,W-6900 HEIDELBERG 1,GERMANY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 127卷 / 03期

关键词：

D O I：

10.1007/BF02104498

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Given a piecewise monotone transformation T of the interval and a piecewise continuous complex weight function g of bounded variation, we prove that the Ruelle zeta function ζ(z) of (T, g) extends meromorphically to {{divides}z{divides}<θ-1} (where θ=lim ∥g°Tn-1...g°Tg∥∞1/n) and that z is a pole of ζ if and only if z-1 is an eigenvalue of the corresponding transfer operator L. We do not assume that L leaves a reference measure invariant. © 1990 Springer-Verlag.

引用

页码：459 / 477

页数：19

共 23 条

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[Anonymous], 1966, PERTURBATION THEORY

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