Some open problems on multiple ergodic averages

Nikos Frantzikinakis

Some open problems on multiple ergodic averages

Dynamical Systems 2016-10-18 v3 Combinatorics

Authors: Nikos Frantzikinakis

Abstract

We survey some recent developments and give a list of open problems regarding multiple recurrence and convergence phenomena of $\mathbb{Z}^d$ actions in ergodic theory and related applications in combinatorics and number theory.

Keywords

ergodic theory combinatorics

Cite

@article{arxiv.1103.3808,
  title  = {Some open problems on multiple ergodic averages},
  author = {Nikos Frantzikinakis},
  journal= {arXiv preprint arXiv:1103.3808},
  year   = {2016}
}

Comments

Remarks by the referees incorporated. To appear in the Bulletin of the Hellenic Mathematical Society. Updates on the status of the problems will be posted here: http://www.math.uoc.gr/~nikosf/OpenProblems.html

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