Ruelle spectrum of linear pseudo-Anosov maps

DOI10.5802/jep.107zbMath1421.37011arXiv1808.00202OpenAlexW2975137011WikidataQ127200617 ScholiaQ127200617MaRDI QIDQ2326243

Erwan Lanneau, Frédéric Faure, Sébastien Gouëzel

Publication date: 7 October 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00202

zbMATH Keywords

cohomological equationpseudo-Anosov maplinear flowRuelle resonances

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (12)

The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ Smooth generalized interval exchange transformations with wandering intervals, from explicit derived from pseudo-Anosov maps ⋮ Explicit examples of resonances for Anosov maps of the torus ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ Parabolic flows renormalized by partially hyperbolic maps ⋮ Discontinuities cause essential spectrum ⋮ Cohomological equations for linear involutions ⋮ Horocycle averages on closed manifolds and transfer operators ⋮ Locating Ruelle–Pollicott resonances* ⋮ On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces ⋮ Twisted cohomological equations for translation flows ⋮ Thermodynamics of smooth models of pseudo–Anosov homeomorphisms

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