VIRTUALLY EXPANDING DYNAMICS

DOI10.2206/kyushujm.77.291arXiv2203.16103OpenAlexW4387656391MaRDI QIDQ6146983

Masato Tsujii

Publication date: 31 January 2024

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16103

zbMATH Keywords

Perron-Frobenius operatorquasi-compactnessexpanding map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Unnamed Item
• Zeta-functions for expanding maps and Anosov flows
• On the smooth dependence of SRB measures for partially hyperbolic systems
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Smoothness of solenoidal attractors
• The partial captivity condition for U(1) extensions of expanding maps on the circle
• Banach spaces adapted to Anosov systems
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens

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