Maximal pronilfactors and a topological Wiener-Wintner theorem

DOI10.1007/s11856-022-2432-1OpenAlexW4313334720MaRDI QIDQ2677812

Yonatan Gutman, Zhengxing Lian

Publication date: 6 January 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03566

zbMATH Keywords

minimal systemspronilfactorsstrictly ergodic systemsWiener-Wintner average

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (1)

Strictly ergodic distal models and a new approach to the Host-Kra factors

Cites Work

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• Uniformity in the Wiener-Wintner theorem for nilsequences
• Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence
• Random orderings and unique ergodicity of automorphism groups
• Distral transformation groups
• Nilsequences and a structure theorem for topological dynamical systems
• Substitution dynamical systems. Spectral analysis
• Uniformity seminorms on \(\ell^{\infty}\) and applications
• Topological mixing and uniquely ergodic systems
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Pointwise theorems for amenable groups.
• Higher order regionally proximal equivalence relations for general minimal group actions
• Eigenvalues of minimal Cantor systems
• Strictly ergodic distal models and a new approach to the Host-Kra factors
• Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems
• Topological Wiener-Wintner ergodic theorem with polynomial weights
• Complexity of nilsystems and systems lacking nilfactors
• Pointwise convergence of multiple ergodic averages and strictly ergodic models
• The structure theory of nilspaces. III: Inverse limit representations and topological dynamics
• Nonconventional ergodic averages and nilmanifolds
• Strictly ergodic models under face and parallelepiped group actions
• Enveloping semigroups of systems of order \(d\)
• Endomorphisms of minimal sets
• Topological Wiener–Wintner theorems for amenable operator semigroups
• A note on a Wiener-Wintner theorem for mean ergodic Markov amenable semigroups
• Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
• Coalescence of circle extensions of measure-preserving transformations
• Universal characteristic factors and Furstenberg averages
• On the eigenvalues of finite rank Bratteli–Vershik dynamical systems
• Un théorème de disjonction de systèmes dynamiques et une généralisation du théorème ergodique de Wiener—Wintner
• On Uniform Convergence in the Wiener-Wintner Theorem
• Wiener–Wintner dynamical systems
• Nilpotent Structures in Ergodic Theory
• Strictly ergodic models for dynamical systems
• Double recurrence and almost sure convergence.
• A new short proof for the uniqueness of the universal minimal space
• Uniformity in the polynomial Wiener–Wintner theorem
• Some characteristic properties of dynamical systems with quasi-discrete spectra
• Harmonic Analysis and Ergodic Theory

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