Multiple ergodic averages for variable polynomials-Reference-Cited by-同舟云学术

Multiple ergodic averages for variable polynomials

Published:2022 Issue:9 Volume:42 Page:4637
ISSN:1078-0947
Container-title:Discrete and Continuous Dynamical Systems
language:
Short-container-title:DCDS

Author:

Koutsogiannis Andreas¹

Affiliation:

1. Aristotle University of Thessaloniki, Department of Mathematics, Thessaloniki, 54124, Greece

Abstract

<p style='text-indent:20px;'>In this paper we study multiple ergodic averages for "good" variable polynomials. In particular, under an additional assumption, we show that these averages converge to the expected limit, making progress related to an open problem posted by Frantzikinakis ([<xref ref-type="bibr" rid="b13">13</xref>,Problem 10]). These general convergence results imply several variable extensions of classical recurrence, combinatorial and number theoretical results which are presented as well.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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