A strong invariance principle for nonconventional sums

DOI10.1007/s00440-011-0404-1zbMath1271.60047arXiv1012.2798OpenAlexW2161766538MaRDI QIDQ1939555

Yuri Kifer

Publication date: 4 March 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2798

zbMATH Keywords

invariancedynamical systemsstochastic processmixingstrong limit theoremsmartingale approximation

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional limit theorems; invariance principles (60F17)

Related Items

Nonconventional limit theorems in averaging ⋮ Strong approximations for nonconventional sums and almost sure limit theorems

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