Sets of k-recurrence but not (k + 1)-recurrence

Annales de l'Institut Fourier

Volumn 56, Issue 4, 2006, Pages 839-849

  Frantzikinakis, Nikos ^a   Lesigne, Emmanuel ^b   Wierdl, Máté ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITÉ DE TOURS   (France)

^c University of Memphis   (United States)

Author keywords

Combinatorial additive number theory; Ergodic theory; Multiple recurrence; Recurrence

Indexed keywords

EID: 33845662813     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.2202     Document Type: Article

References (9)

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4. _, Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, Princeton, N.J., 1981, M. B. Porter Lectures.
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8. Y. KATZNELSON, "Chromatic numbers of Cayley graphs on ℤ and recurrence", Combinatorica 21 (2001), no. 2, p. 211-219, Paul Erdos and his mathematics (Budapest, 1999).
9. T. ZIEGLER, "Universal Characteristic Factors and Furstenberg Averages", http://www.arxiv.org/abs/matb.DS/0403212, To appear in Journal of the AMS.