Ergodic sequences of averages of group representations
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Publication:4290209
DOI10.1017/S0143385700007793zbMath0814.60004OpenAlexW2151801970MaRDI QIDQ4290209
Publication date: 31 May 1994
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700007793
Haar measureLamperti operatorsstrongly continuous representationCalderon's transfer principle for maximum inequalities
Strong limit theorems (60F15) Ergodic theory of linear operators (47A35) General groups of measure-preserving transformations (28D15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (8)
Limit theorems for random walks with dynamical random transitions ⋮ Convergence of representation averages and of convolution powers ⋮ Pointwise ergodic theorems for bounded Lamperti representations of amenable groups ⋮ Dominated and pointwise ergodic theorems with ``weighted averages for bounded Lamperti representations of amenable groups ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ Maximal ergodic inequalities for Banach function spaces ⋮ The Ritt property of subordinated operators in the group case ⋮ Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations
Cites Work
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- Almost everywhere convergence of weighted averages
- Convergence of iterates of averages of certain operator representations and of convolution powers
- Ergodic group actions
- Random walks on discrete groups: Boundary and entropy
- Pointwise convergence of the iterates of a Harris-recurrent Markov operator
- Pointwise ergodic theorems in l.c.a. groups
- Ergodic and mixing random walks on locally compact groups
- Concentration functions and a class of non-compact groups
- General ergodic theorems
- A contribution to the theory of divergent sequences
- On Iterates of Convolutions
- Sequential Convergence to Invariance in BC(G)
- A Simple Proof of the Maximal Ergodic Theorem
- Ergodic Properties of Lamperti Operators
- Operator Limit Theorems
- A geometric proof of Ryll-Nardzewski’s fixed point theorem
- ON THE MAXIMAL ERGODIC THEOREM
- Generalized Summing Sequences and the Mean Ergodic Theorem
- Abstract Ergodic Theorems and Weak Almost Periodic Functions
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