Multiple recurrence for non-commuting transformations along rationally independent polynomials
From MaRDI portal
Publication:5245327
DOI10.1017/etds.2013.63zbMath1317.37037arXiv1302.5571OpenAlexW3103346946MaRDI QIDQ5245327
Nikos Frantzikinakis, Pavel Zorin-Kranich
Publication date: 8 April 2015
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5571
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items (2)
Cites Work
- Polynomial averages converge to the product of integrals
- Intersective polynomials and the polynomial Szemerédi theorem
- Multiple recurrence theorem for measure preserving actions of a nilpotent group
- Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
- Nonconventional ergodic averages and nilmanifolds
- Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations
- Ergodic averages of commuting transformations with distinct degree polynomial iterates
- Multiple recurrence for two commuting transformations
- Multiple ergodic averages for three polynomials and applications
- Failure of the Roth theorem for solvable groups of exponential growth
- Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
- Pointwise convergence of ergodic averages for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold
- Random sequences and pointwise convergence of multiple ergodic averages
- Central sets and a non-commutative Roth theorem
- ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
This page was built for publication: Multiple recurrence for non-commuting transformations along rationally independent polynomials
