The speed of convergence in the ergodic theorem
From MaRDI portal
Publication:1145783
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
ergodic theoremnonatomic probability spacespeed of convergenceergodic measure-preserving transformationnonexistence of the one-sided ergodic Hilbert transformpointwise nonhomogeneous ergodic theorem
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
This page was built for publication: The speed of convergence in the ergodic theorem