The speed of convergence in the ergodic theorem

DOI10.1007/BF01306954zbMath0446.28015MaRDI QIDQ1145783

Shizuo Kakutani, Karl E. Petersen

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178007

zbMATH Keywords

ergodic theoremnonatomic probability spacespeed of convergenceergodic measure-preserving transformationnonexistence of the one-sided ergodic Hilbert transformpointwise nonhomogeneous ergodic theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (16)

On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem ⋮ An averaging principle for diffusions in foliated spaces ⋮ Asymptotically Compatible Schemes for Stochastic Homogenization ⋮ Strong averaging along foliated Lévy diffusions with heavy tails on compact leaves ⋮ Summability and speed of convergence in an ergodic theorem ⋮ Speed of convergence of Weyl sums over Kronecker sequences ⋮ Almost everywhere convergence of ergodic series ⋮ Zero entropy systems ⋮ Refined scales of weak-mixing dynamical systems: typical behaviour ⋮ Averaging along foliated Lévy diffusions ⋮ Hamiltonian systems with Lévy noise: symplecticity, Hamilton's principle and averaging principle ⋮ Divergence of weighted square averages in \(L^1\) ⋮ On the spectrum of shear flows and uniform ergodic theorems ⋮ Dynamics via measurability ⋮ A Strong Averaging Principle for Lévy Diffusions in Foliated Spaces with Unbounded Leaves ⋮ Computable Measure Theory and Algorithmic Randomness

Cites Work

• A non-homogeneous ergodic theorem
• A Non Homogeneous Ergodic Theorem

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