Logarithmic bounds for ergodic sums of certain flows on the torus: a short proof

DOI10.1007/s12346-022-00632-8zbMath1506.37004arXiv2012.07481OpenAlexW4283792619WikidataQ113899535 ScholiaQ113899535MaRDI QIDQ2156332

Jérôme Carrand

Publication date: 18 July 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07481

zbMATH Keywords

Poincaré mapergodic sumsDenjoy-Koksma inequalitynonminimal flow

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Cites Work

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• Parabolic dynamics and anisotropic Banach spaces
• Afterword: Dynamical zeta functions for Axiom A flows
• On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces
• Differentiable dynamical systems

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