Host–Kra theory for -systems and multiple recurrence
From MaRDI portal
Publication:6172718
DOI10.1017/etds.2021.109zbMath1525.37051arXiv2101.04613WikidataQ114119032 ScholiaQ114119032MaRDI QIDQ6172718
Publication date: 20 July 2023
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.04613
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Relations between ergodic theory and number theory (37A44)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm convergence of nilpotent ergodic averages
- The inverse conjecture for the Gowers norm over finite fields via the correspondence principle
- An odd Furstenberg-Szemerédi theorem and quasi-affine systems
- Multiple recurrence and convergence results associated to \(\mathbb F_P^\omega\)-actions
- Extensions of ergodic group actions
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Higher order regionally proximal equivalence relations for general minimal group actions
- Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
- Strictly ergodic distal models and a new approach to the Host-Kra factors
- Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds
- The structure theory of nilspaces. I
- The structure theory of nilspaces. III: Inverse limit representations and topological dynamics
- The structure of compact groups. A primer for the student -- A handbook for the expert
- An inverse theorem for the uniformity seminorms associated with the action of \(\mathbb F_p^\infty\)
- Nonconventional ergodic averages and nilmanifolds
- On some types of topological groups
- Flows on Homogeneous Spaces. (AM-53)
- Compact Lie Groups
- Universal characteristic factors and Furstenberg averages
- Multiple ergodic averages for three polynomials and applications
- Automatic Continuity of Group Homomorphisms
- Théorèmes ergodiques pour des mesures diagonales
- Théorèmes ergodiques pour une translation sur un nilvariété
- Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson
- On sets of integers containing k elements in arithmetic progression
- Nilpotent Structures in Ergodic Theory
- The structure theory of Nilspaces II: Representation as nilmanifolds
- On nilspace systems and their morphisms
- AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
- Metric automorphisms with quasi-discrete spectrum
- Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
- Compact abelian group extensions of discrete dynamical systems
- Dynamical Systems on Nilmanifolds
- A non-conventional ergodic theorem for a nilsystem
- An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]
- A new proof of Szemerédi's theorem
- Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
This page was built for publication: Host–Kra theory for -systems and multiple recurrence
