A proof of the existence and simplicity of a maximal eigenvalue for Ruelle-Perron-Frobenius operators

被引：11

作者：

Jiang, YP ^{[1
]}

机构：

[1] CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA

[2] CUNY, Grad Sch, Dept Math, New York, NY 10036 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 48卷 / 03期

基金：

美国国家科学基金会;

关键词：

locally expanding; mixing; Ruelle-Perron-Frobenius operator; maximal eigenvalue;

D O I：

10.1023/A:1007595323704

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a new proof of a result due to Ruelle about the existence and simplicity of a unique maximal eigenvalue for a Ruelle-Perron-Frobenius operator acting on some Holder continuous function space.

引用

页码：211 / 219

页数：9

共 12 条

[1] A Proof of the Existence and Simplicity of a Maximal Eigenvalue for Ruelle–Perron–Frobenius Operators
Yunping Jiang
Letters in Mathematical Physics, 1999, 48 : 211 - 219
[2] RANDOM PRODUCTS OF RUELLE-PERRON-FROBENIUS OPERATORS
FERRERO, P
SCHMITT, B
PROBABILITY THEORY AND RELATED FIELDS, 1988, 79 (02) : 227 - 248
[3] On the Ruelle-Perron-Frobenius theorem
Stoyanov, L
ASYMPTOTIC ANALYSIS, 2005, 43 (1-2) : 131 - 150
[4] On Ruelle-Perron-Frobenius operators. I. Ruelle theorem
Fan, AH
Jiang, YP
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 223 (01) : 125 - 141
[5] On Ruelle-Perron-Frobenius operators. II. Convergence speeds
Fan, AH
Jiang, YP
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 223 (01) : 143 - 159
[6] Rigorous numerical approximation of Ruelle-Perron-Frobenius operators and topological pressure of expanding maps
Terhesiu, Dalia
Froyland, Gary
NONLINEARITY, 2008, 21 (09) : 1953 - 1966
[7] A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point
Garibaldi, Eduardo
Inoquio-Renteria, Irene
LETTERS IN MATHEMATICAL PHYSICS, 2022, 112 (04)
[8] On Ruelle–Perron–Frobenius Operators.¶I. Ruelle Theorem
Aihua Fan
Yunping Jiang
Communications in Mathematical Physics, 2001, 223 : 125 - 141
[9] A COMPLEX RUELLE-PERRON-FROBENIUS THEOREM FOR INFINITE MARKOV SHIFTS WITH APPLICATIONS TO RENEWAL THEORY
Kesseboehmer, Marc
Kombrink, Sabrina
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2017, 10 (02): : 335 - 352
[10] On Ruelle–Perron–Frobenius Operators.¶II. Convergence Speeds
Aihua Fan
Yunping Jiang
Communications in Mathematical Physics, 2001, 223 : 143 - 159

← 1 2 →