Ergodic theorems for actions of free groups and free semigroups

DOI10.1007/BF02743176zbMath0957.22006MaRDI QIDQ1974368

Rostislav I. Grigorchuk

Publication date: 25 March 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

free groupfree semigroup

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40)

Related Items

On the law of large numbers for compositions of independent random semigroups ⋮ Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Fiber entropy and algorithmic complexity of random orbits ⋮ Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups ⋮ On Markov operators and ergodic theorems for group actions ⋮ Maximal ergodic theorems for some group actions ⋮ A note on non-commutative ergodic theorems for actions of hyperbolic groups ⋮ Maximal inequality and ergodic theorems for Markov groups ⋮ Feynman formulas and the law of large numbers for random one-parameter semigroups ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

• A generalization of Birkhoff's pointwise ergodic theorem
• Topological entropy of free semigroup actions and skew-product transformations
• Unnamed Item

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