There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus

DOI10.1017/etds.2021.17zbMath1487.37005arXiv1907.03453OpenAlexW4288076164WikidataQ114118905 ScholiaQ114118905MaRDI QIDQ5021949

Viviane Baladi

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03453

zbMATH Keywords

zeta functionstransfer operatorslow-dimensional dynamicssmooth dynamics

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ 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

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