\(\mathrm{IP}_r^\ast\)-recurrence and nilsystems
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Publication:1989714
DOI10.1016/j.aim.2018.09.032zbMath1444.37012OpenAlexW2963641471MaRDI QIDQ1989714
Alexander Leibman, Vitaly Bergelson
Publication date: 29 October 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2018.09.032
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02)
Related Items (8)
Some open problems on multiple ergodic averages ⋮ Polynomial orbits in totally minimal systems ⋮ Characterizations of distality via weak equicontinuity ⋮ Bracket words: A generalisation of Sturmian words arising from generalised polynomials ⋮ Failure of Khintchine-type results along the polynomial image of \(\mathrm{IP}_0\) sets ⋮ Multiple recurrence and popular differences for polynomial patterns in rings of integers ⋮ Sets of large values of correlation functions for polynomial cubic configurations ⋮ Sublacunary sets and interpolation sets for nilsequences
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