Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems

DOI10.1134/S0037446614020165zbMath1351.37031MaRDI QIDQ483454

V. V. Sedalishchev

Publication date: 17 December 2014

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

zbMATH Keywords

stationary stochastic processescontraction semigroupsBirkhoff's theoremNeumann's ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (5)

Estimates for Correlation in Dynamical Systems: From Hölder Continuous Functions to General Observables ⋮ Uniform convergence on subspaces in the von Neumann ergodic theorem with discrete time ⋮ On the rate of convergence in the individual ergodic theorem for the action of a semigroup ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Measuring the rate of convergence in the Birkhoff ergodic theorem

Cites Work

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• Some Examples of the Problem of $\varepsilon$-Deviatations for Stationary Sequences
• Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
• On the Iteration of Transformations in Noncompact Minimal Dynamical Systems
• Criteria for the Strong Law of Large Numbers for Some Classes of Second-Order Stationary Processes and Homogeneous Random Fields
• The rate of convergence in ergodic theorems
• An Example of a Process with Mixing

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