A nilpotent IP polynomial multiple recurrence theorem
From MaRDI portal
Publication:464291
DOI10.1007/s11854-014-0018-5zbMath1319.37009arXiv1206.0287OpenAlexW2163779747MaRDI QIDQ464291
Publication date: 17 October 2014
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0287
Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)
Related Items (3)
Norm convergence of multiple ergodic averages on amenable groups ⋮ Combinatorial properties of Nil-Bohr sets ⋮ Topological correspondence of multiple ergodic averages of nilpotent group actions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The quantitative behaviour of polynomial orbits on nilmanifolds
- Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials
- An ergodic Szemerédi theorem for IP-systems and combinatorial theory
- Topological dynamics and combinatorial number theory
- Ramsey's theorem with sums or unions
- A canonical partition relation for finite subsets of \(\omega\)
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Multiple recurrence theorem for measure preserving actions of a nilpotent group
- Polynomial mappings of groups
- FVIP systems and multiple recurrence
- A density version of the Hales-Jewett theorem
- Set-polynomials and polynomial extension of the Hales-Jewett theorem
- Finite sums from sequences within cells of a partition of N
- Topological multiple recurrence for polynomial configurations in nilpotent groups
- Distribution of values of bounded generalized polynomials
- Weakly mixing PET
- On sets of integers containing k elements in arithmetic progression
- Partition Theorems for Spaces of Variable Words
- An ergodic IP polynomial Szemerédi theorem
- IP-sets and polynomial recurrence
- IP-systems, generalized polynomials and recurrence
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
- An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]
This page was built for publication: A nilpotent IP polynomial multiple recurrence theorem
