Multiple recurrence and large intersections for abelian group actions
From MaRDI portal
Publication:5028501
DOI10.19086/da.28877OpenAlexW4236739644MaRDI QIDQ5028501
Vitaly Bergelson, Andrew Best, Ethan M. Ackelsberg
Publication date: 10 February 2022
Published in: discrete Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.02811
Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General groups of measure-preserving transformations and dynamical systems (37A15)
Related Items (8)
Bohr neighborhoods in generalized difference sets ⋮ Khintchine-type recurrence for 3-point configurations ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ Popular differences for right isosceles triangles ⋮ Bohr sets in sumsets II: countable abelian groups ⋮ Multiple recurrence and popular differences for polynomial patterns in rings of integers ⋮ Popular differences for matrix patterns ⋮ Multiple ergodic averages in abelian groups and Khintchine type recurrence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm convergence of multiple ergodic averages on amenable groups
- Non-conventional ergodic averages for several commuting actions of an amenable group
- An odd Furstenberg-Szemerédi theorem and quasi-affine systems
- Multiple recurrence and convergence results associated to \(\mathbb F_P^\omega\)-actions
- An ergodic Szemerédi theorem for IP-systems and combinatorial theory
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Quantitative multiple recurrence for two and three transformations
- Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
- An inverse theorem for the uniformity seminorms associated with the action of \(\mathbb F_p^\infty\)
- A Szemerédi-type regularity lemma in abelian groups, with applications
- Popular differences for right isosceles triangles
- Multiple recurrence for two commuting transformations
- An arithmetic regularity lemma, associated counting lemma, and applications
- Lower bounds for corner-free sets
- Patterns without a popular difference
- Universal characteristic factors and Furstenberg averages
- Multiple ergodic averages for three polynomials and applications
- Théorèmes ergodiques pour des mesures diagonales
- Équations fonctionnelles, couplages de produits gauches et théorèmes ergodiques pour mesures diagonales
- Larger Corner-Free Sets from Better NOF Exactly-$N$ Protocols
- Optimal lower bounds for multiple recurrence
- Central sets and a non-commutative Roth theorem
- Groups of Automorphisms of Borel Spaces
- On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
This page was built for publication: Multiple recurrence and large intersections for abelian group actions
