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

Authors
Citation
Yp. Jiang, A proof of the existence and simplicity of a maximal eigenvalue for Ruelle-Perron-Frobenius operators, LETT MATH P, 48(3), 1999, pp. 211-219
Citations number
12
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
48
Issue
3
Year of publication
1999
Pages
211 - 219
Database
ISI
SICI code
0377-9017(199905)48:3<211:APOTEA>2.0.ZU;2-D
Abstract
We give a new proof of a result due to Ruelle about the existence and simpl icity of a unique maximal eigenvalue for a Ruelle-Perron-Frobenius operator acting on some Holder continuous function space.