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dc.contributor.author Donoso, S
dc.contributor.author Sun, WB
dc.date.accessioned 2024-01-17T15:55:16Z
dc.date.available 2024-01-17T15:55:16Z
dc.date.issued 2018
dc.identifier.uri https://repositorio.uoh.cl/handle/611/760
dc.description.abstract We show that for every ergodic system (X, mu, T-1 , . . . , T-d) with commuting transformations, the average 1/Nd+1 Sigma(0 <= n1 ,..., nd <= N-1 )Sigma(0 <= n <= N-1 ) f(1)(T-1(n) Pi(d)(j=1) T(j)(nj)x) f(2)(T-2(n) Pi(d)(j=1)T(j)(ni)x) . . . f(d)(T-d(n) Pi(d)(j=1)T(j)(nj)x) converges for mu-a.e. x Sigma X as N -> infinity. If X is distal, we prove that the average 1/N Sigma(N-1)(n=0) f(1) (T(1)(n)x) f(2) (T(2)(n)x) . . . f(d)(T(d)(n)x) converges for mu-a.e. x is an element of X as N -> infinity. We also establish the pointwise convergence of averages along cubical configurations arising from a system with commuting transformations. Our methods combine the existence of sated and magic extensions introduced by Austin and Host respectively with ideas on topological models by Huang, Shao and Ye. (C) 2018 Elsevier Inc. All rights reserved.
dc.description.sponsorship ERC(European Research Council (ERC))
dc.description.sponsorship FONDECYT INICIACION(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)
dc.description.sponsorship NSF(National Science Foundation (NSF))
dc.description.sponsorship Division Of Mathematical Sciences
dc.description.sponsorship Direct For Mathematical & Physical Scien(National Science Foundation (NSF)NSF - Directorate for Mathematical & Physical Sciences (MPS))
dc.relation.uri http://dx.doi.org/10.1016/j.aim.2018.03.022
dc.subject Pointwise convergence
dc.subject Cubic averages
dc.subject Topological models
dc.title Pointwise convergence of some multiple ergodic averages
dc.type Artículo
uoh.revista ADVANCES IN MATHEMATICS
dc.identifier.doi 10.1016/j.aim.2018.03.022
dc.citation.volume 330
dc.identifier.orcid Donoso, Sebastian/0000-0001-9870-7984
dc.identifier.orcid Donoso, Sebastián/0000-0001-9870-7984
uoh.indizacion Web of Science


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