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

DOI10.1134/S0037446611050077zbMath1285.47014MaRDI QIDQ665894

N. A. Dzhulaĭ, A. G. Kachurovskii

Publication date: 7 March 2012

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

zbMATH Keywords

spectral measurecorrelation functionstationary stochastic processrate of convergence of ergodic averagesvon Neumann mean ergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (8)

Rates of convergence in ergodic theorems for certain billiards and Anosov diffeomorphisms ⋮ Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time ⋮ 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 ⋮ Rate of convergence in ergodic theorems for the planar periodic Lorentz gas ⋮ Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems ⋮ On the spectrum of shear flows and uniform ergodic theorems ⋮ Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap

Cites Work

• On the constants in the estimates of the rate of convergence in von Neumann's ergodic theorem
• Estimates of means for almost all realizations of stationary processes
• On the rate of convergence in von Neumann's ergodic theorem with continuous time
• The rate of convergence in ergodic theorems
• On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
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