Maximal and pointwise ergodic theorems for word-hyperbolic groups

DOI10.1017/S0143385798117443zbMath0919.22002MaRDI QIDQ4236777

Koji Fujiwara, Amos Nevo

Publication date: 31 August 1999

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

zbMATH Keywords

uniform latticesmeasure-preserving transformationspointwise ergodic sequenceuniform lattice subgroupword-hyperbolic word

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Probabilistic methods in group theory (20P05)

Related Items (13)

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ A symmetric Markov coding and the ergodic theorem for actions of Fuchsian groups ⋮ FAILURE OF THE POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ An ergodic theorem for actions of Fuchsian groups ⋮ Pointwise ergodic theorem for locally countable quasi-pmp graphs ⋮ A pointwise ergodic theorem for Fuchsian groups ⋮ Ergodic theorems for actions of hyperbolic groups ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ A note on non-commutative ergodic theorems for actions of hyperbolic groups ⋮ ON ENTROPIES AND COMPLEXITY FOR AMENABLE ACTIONS GROUPS ⋮ Maximal inequality and ergodic theorems for Markov groups ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

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