A Proof of the Existence and Simplicity of a Maximal Eigenvalue for Ruelle–Perron–Frobenius Operators

被引:1
作者
Yunping Jiang
机构
[1] Queens College of CUNY,Department of Mathematics
[2] Graduate School of CUNY,Department of Mathematics
来源
Letters in Mathematical Physics | 1999年 / 48卷
关键词
locally expanding; mixing; Ruelle–Perron–Frobenius operator; maximal eigenvalue;
D O I
暂无
中图分类号
学科分类号
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 Hölder continuous function space.
引用
收藏
页码:211 / 219
页数:8
相关论文
共 6 条
  • [1] Fan A.(1995)A proof of Ruelle operator theorem Rev.Math. Phys. 7 1241-1247
  • [2] Krzyzewski K.(1969)On invariant measures for expanding differentiable mappings Studia Math. 33 83-92
  • [3] Szlenk W.(1968)Statistical mechanics of a one-dimensional lattice gas Comm. Math. Phys. 9 267-278
  • [4] Ruelle D.(1976)A measure associated with axiom A attractors Amer. J. Math. 98 619-654
  • [5] Ruelle D.(1975)Ruelle's operator theorem and Trans. Amer.Math. Soc. 214 375-387
  • [6] Walters P.(undefined)-measures undefined undefined undefined-undefined