Parallelepipeds, nilpotent groups and Gowers norms
From MaRDI portal
Publication:3614858
DOI10.24033/bsmf.2561zbMath1189.11006arXivmath/0606004OpenAlexW1670219528MaRDI QIDQ3614858
Publication date: 16 March 2009
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0606004
Other combinatorial number theory (11B75) Finite nilpotent groups, (p)-groups (20D15) Ramsey theory (05D10) Arithmetic progressions (11B25)
Related Items
Some open problems on multiple ergodic averages ⋮ Generalizations of Fourier analysis, and how to apply them ⋮ Higher order regionally proximal equivalence relations for general minimal group actions ⋮ Large values of the Gowers-Host-Kra seminorms ⋮ Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds ⋮ Dynamical parallelepipeds in minimal systems ⋮ The structure theory of nilspaces. I ⋮ On higher-order Fourier analysis in characteristic p ⋮ On the structure theory of cubespace fibrations ⋮ Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits ⋮ The inverse conjecture for the Gowers norm over finite fields in low characteristic ⋮ Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence ⋮ The structure theory of Nilspaces II: Representation as nilmanifolds ⋮ http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ⋮ Notes on compact nilspaces ⋮ Nilsequences and a structure theorem for topological dynamical systems ⋮ Graph norms and Sidorenko's conjecture ⋮ The structure theory of nilspaces. III: Inverse limit representations and topological dynamics ⋮ Strictly ergodic distal models and a new approach to the Host-Kra factors
Cites Work
- Convergence of polynomial ergodic averages
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Polynomial sequences in groups
- Polynomial mappings of groups
- Convergence of multiple ergodic averages along polynomials of several variables
- Nonconventional ergodic averages and nilmanifolds
- The primes contain arbitrarily long arithmetic progressions
- Sur les commutateurs
- Nilsystèmes d’ordre 2 et parallélépipèdes
- On sets of integers containing k elements in arithmetic progression
- A Contribution to the Theory of Groups of Prime-Power Order
- Multiple recurrence and convergence for sequences related to the prime numbers
- AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
- Convergence of multiple ergodic averages for some commuting transformations
- Sur les groupes nilpotents et les anneaux de Lie
- A new proof of Szemerédi's theorem