A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions
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Publication:6193922
DOI10.1134/s0037446624010099OpenAlexW4391604077MaRDI QIDQ6193922
No author found.
Publication date: 14 February 2024
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446624010099
Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Cites Work
- Ergodic theorems. With a supplement by Antoine Brunel
- On the convergence of multiple ergodic means
- Randomized consistent statistical inference for random processes and fields
- Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
- Joint and double coboundaries of commuting contractions
- The rate of convergence in ergodic theorems
- Convergence of averages in the ergodic theorem for groups \(\mathbb{Z}^d\)
- Uniform convergence on subspaces in the von Neumann ergodic theorem with discrete time
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