An ergodic theorem for actions of Fuchsian groups

DOI10.4213/rm10099eOpenAlexW4389318661MaRDI QIDQ6184489

Alexey Klimenko, Caroline Series, Alexander I. Bufetov

Publication date: 25 January 2024

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/rm10099

zbMATH Keywords

Fuchsian groupsMarkov coding

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Unnamed Item
• Markov maps associated with Fuchsian groups
• Convergence of spherical averages for actions of free groups
• A pointwise ergodic theorem for Fuchsian groups
• Maximal and pointwise ergodic theorems for word-hyperbolic groups
• An “alternierende Verfahren” for general positive operators
• Operator ergodic theorems for actions of free semigroups and groups

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