Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps

DOI10.1017/etds.2020.99zbMath1489.37009arXiv1906.07256OpenAlexW3091881555WikidataQ114119054 ScholiaQ114119054MaRDI QIDQ5156794

Aline Melo, Silvius Klein, Xiao-Chuan Liu

Publication date: 12 October 2021

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

Full work available at URL: https://arxiv.org/abs/1906.07256

zbMATH Keywords

Diophantine conditionFejér kernelsDenjoy-Koksma inequalityJackson kernelsclassical ergodic theoryconvergence of Birkhoff means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Ergodic theorems, spectral theory, Markov operators (37A30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) General theory of distribution modulo (1) (11K06) Relations between ergodic theory and number theory (37A44)

Related Items (2)

On spectral measures and convergence rates in von Neumann's ergodic theorem ⋮ Dynamics of multicritical circle maps

Cites Work

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• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Reducibility results for quasiperiodic cocycles with Liouvillean frequency
• Limit theorems for toral translations
• Schrödinger operators with dynamically defined potentials
• Classical Fourier Analysis
• Strict Ergodicity and Transformation of the Torus
• Diophantine Approximation and Dirichlet Series

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