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

DOI10.1023/A:1007595323704zbMath0938.37002OpenAlexW2140045615MaRDI QIDQ1306728

Yunping Jiang

Publication date: 28 June 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007595323704

zbMATH Keywords

eigenvalueinvariant measurefixed-point theoremsRuelle-Perron-Frobenius operatorexpanding and mixing mapslocally expanding map

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (4)

Convergence speed of a Ruelle operator associated with a non-uniformly expanding conformal dynamical system and a Dini potential ⋮ Geometric Gibbs theory ⋮ Ruelle operator theorem for non-expansive systems ⋮ Ruelle operator with weakly contractive iterated function systems

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