Nil Bohr\(_0\)-sets and polynomial recurrence

DOI10.1016/j.jmaa.2013.07.068zbMath1348.37013OpenAlexW2054451794MaRDI QIDQ2257758

Si Ming Tu

Publication date: 2 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.07.068

zbMATH Keywords

nilmanifoldsnilsequencesNil-Bohr sets

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Arithmetic progressions (11B25)

Related Items (2)

Some open problems on multiple ergodic averages ⋮ Combinatorial properties of Nil-Bohr sets

Cites Work

• On Roth's theorem on progressions
• Convergence of polynomial ergodic averages
• Roth's theorem on progressions revisited
• Nilsequences and a structure theorem for topological dynamical systems
• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• On triples in arithmetic progression
• Nonconventional ergodic averages and nilmanifolds
• Nil–Bohr sets of integers
• Flows on some three dimensional homogeneous spaces
• Universal characteristic factors and Furstenberg averages
• Multiple ergodic averages for three polynomials and applications
• Orbit of the diagonal in the power of a nilmanifold
• Multiple polynomial correlation sequences and nilsequences
• An ergodic IP polynomial Szemerédi theorem
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Nilsequences, null-sequences, and multiple correlation sequences
• The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
• Ergodic Theory
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