On the rate of convergence in von Neumann's ergodic theorem with continuous time

DOI10.1070/SM2010v201n04ABEH004080zbMath1200.28018OpenAlexW2056945163MaRDI QIDQ3577774

A. G. Kachurovskii, A. V. Reshetenko

Publication date: 23 July 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2010v201n04abeh004080

zbMATH Keywords

spectral measureMean ergodic theoremrate of convergence of ergodic average

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Ergodic theorems, spectral theory, Markov operators (37A30) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (7)

Randomized consistent statistical inference for random processes and fields ⋮ On spectral measures and convergence rates in von Neumann's ergodic theorem ⋮ The Fejér integrals and the von Neumann ergodic theorem with continuous time ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Constants in the estimates of the rate of convergence in von Neumann's ergodic theorem with continuous time ⋮ Randomized multivariate central limit theorems for ergodic homogeneous random fields ⋮ Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap

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