Multiple correlation sequences and nilsequences
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Publication:894234
DOI10.1007/s00222-015-0579-7zbMath1358.37019arXiv1407.0631OpenAlexW2038414691MaRDI QIDQ894234
Publication date: 30 November 2015
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.0631
Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Ramsey theory (05D10) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (15)
Some open problems on multiple ergodic averages ⋮ A decomposition of multicorrelation sequences for commuting transformations along primes ⋮ Multiple ergodic theorems for arithmetic sets ⋮ Nilsequences and multiple correlations along subsequences ⋮ Decomposition of multicorrelation sequences and joint ergodicity ⋮ A proof of a sumset conjecture of Erdős ⋮ Structure of multicorrelation sequences with integer part polynomial iterates along primes ⋮ Weighted multiple ergodic averages and correlation sequences ⋮ Sets of large values of correlation functions for polynomial cubic configurations ⋮ Closest integer polynomial multiple recurrence along shifted primes ⋮ Integer part polynomial correlation sequences ⋮ Ergodicity of the Liouville system implies the Chowla conjecture ⋮ Multiple ergodic averages for tempered functions ⋮ Properties of multicorrelation sequences and large returns under some ergodicity assumptions ⋮ Nilsystems and ergodic averages along primes
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