A Proof of Walsh's Convergence Theorem Using Couplings

DOI10.1093/imrn/rnu145zbMath1372.37012arXiv1310.3219OpenAlexW2062012798MaRDI QIDQ3450450

Tim D. Austin

Publication date: 5 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3219

zbMATH Keywords

couplingmultiple ergodic averagecharacteristic factordiscrete nilpotent group

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (6)

Some open problems on multiple ergodic averages ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ On a multi-parameter variant of the Bellow–Furstenberg problem ⋮ Polynomial sequences in discrete nilpotent groups of step 2 ⋮ Polynomial averages and pointwise ergodic theorems on nilpotent groups ⋮ Norm convergence of multiple ergodic averages on amenable groups

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