On Ruelle-Perron-Frobenius operators. II. Convergence speeds

被引：20
|
作者：
Fan, AH
Jiang, YP
机构：
[1] Univ Picardie, Dept Math & Informat, F-80039 Amiens 1, France
[2] CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA
[3] CUNY, Grad Sch, Dept Math, New York, NY 10016 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2001年 / 223卷 / 01期
关键词：
Dynamical System; Potential Function; Convergence Speed; Markov Partition; Dini Condition;
D O I：
10.1007/s002200100539
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study Ruelle operators on expanding and mixing dynamical systems with potential function satisfying the Dini condition. We give an estimate for the convergence speed of the iterates of a Ruelle operator. Our proof avoids Markov partitions. This is the second part of our research on Ruelle operators.
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页码：143 / 159
页数：17
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