Variations on topological recurrence
From MaRDI portal
Publication:907033
DOI10.1007/s00605-015-0765-0zbMath1330.05156arXiv1408.2728OpenAlexW1572384111MaRDI QIDQ907033
Bryna Kra, Alejandro Maass, Bernard Host
Publication date: 1 February 2016
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.2728
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Cites Work
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- Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence
- Multiple recurrence and convergence for Hardy sequences of polynomial growth
- Sets of \(k\)-recurrence but not \((k+1)\)-recurrence
- Pointwise ergodic theorem along the prime numbers
- Nilsequences and a structure theorem for topological dynamical systems
- Large independent sets in shift-invariant graphs
- Topological dynamics and combinatorial number theory
- Polynomial sequences in groups
- Elemental methods in ergodic Ramsey theory
- Complexity of nilsystems and systems lacking nilfactors
- Nonconventional ergodic averages and nilmanifolds
- A Hardy field extension of Szemerédi's theorem
- Nil–Bohr sets of integers
- Some counterexamples in topological dynamics
- Poincaré recurrence and number theory
- On difference sets of sequences of integers. I
- Divisible Properties and the Stone-Čech Compactification
- On the Set of Common Differences in van der Waerden’s Theorem on Arithmetic Progressions
- On Li-Yorke pairs
- Infinite-step nilsystems, independence and complexity
- On two recurrence problems
- Nil Bohr-sets and almost automorphy of higher order
- IP-systems, generalized polynomials and recurrence
- Multiple recurrence and convergence for sequences related to the prime numbers
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
- Chromatic numbers of Cayley graphs on \(\mathbb Z\) and recurrence
