A symmetric Markov coding and the ergodic theorem for actions of Fuchsian groups

DOI10.5802/mrr.3OpenAlexW3040314184WikidataQ114013328 ScholiaQ114013328MaRDI QIDQ2147354

Caroline Series, Alexey Klimenko, Alexander I. Bufetov

Publication date: 20 June 2022

Published in: Mathematics Research Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/mrr.3

zbMATH Keywords

Fuchsian groupMarkov operatorergodic theoremspherical averagesMarkov coding

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (1)

Convergence of spherical averages for actions of Fuchsian groups

Cites Work

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• Mean convergence of Markovian spherical averages for measure-preserving actions of the free group
• On Markov operators and ergodic theorems for group actions
• Markov maps associated with Fuchsian groups
• Convergence of spherical averages for actions of free groups
• von-Neumann and Birkhoff ergodic theorems for negatively curved groups
• A pointwise ergodic theorem for Fuchsian groups
• Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups
• The infinite word problem and limit sets in Fuchsian groups
• Maximal and pointwise ergodic theorems for word-hyperbolic groups
• Ergodic theorems for actions of hyperbolic groups
• An “alternierende Verfahren” for general positive operators
• Operator ergodic theorems for actions of free semigroups and groups

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