An alternative approach to generalised BV and the application to expanding interval maps

DOI10.3934/DCDS.2013.33.3355zbMath1305.37019arXiv1206.1136OpenAlexW2962867316MaRDI QIDQ379501

Oliver Butterley

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1136

zbMATH Keywords

spectral gaptransfer operatorexpanding mapgeneralised bounded variation

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (7)

Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Area expanding \({\mathcal C^{1+\alpha}}\) suspension semiflows ⋮ Parabolic flows renormalized by partially hyperbolic maps ⋮ Discontinuities cause essential spectrum ⋮ Deterministic walks in random environment ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Open sets of exponentially mixing Anosov flows

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