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Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions. (English) Zbl 0347.28016

MSC:
28D05 Measure-preserving transformations
47A35 Ergodic theory of linear operators
54H20 Topological dynamics (MSC2010)
11B83 Special sequences and polynomials
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[5] K. F. Roth,Sur quelques ensembles d’entiers, C. R. Acad. Sci. Paris234 (1952), 388–390. · Zbl 0046.04302
[6] E. Szemerédi,On acts of integers containing no four elements in arithmetic progression, Acta Math. Acad. Sci. Hungar.20 (1969), 89–104. · Zbl 0175.04301 · doi:10.1007/BF01894569
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[8] R. Zimmer,Ergodic actions with generalized discrete spectrum, to appear. · Zbl 0349.28011
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