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Bulletin of the American Mathematical Society

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The ergodic theoretical proof of Szemerédi's theorem


Authors: H. Furstenberg, Y. Katznelson and D. Ornstein
Journal: Bull. Amer. Math. Soc. 7 (1982), 527-552
MSC (1980): Primary 05, 10, 28, 60
DOI: https://doi.org/10.1090/S0273-0979-1982-15052-2
MathSciNet review: 670131
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References [Enhancements On Off] (What's this?)

  • H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, Princeton, N.J., 1981. M. B. Porter Lectures. MR 603625
  • H. Furstenberg and Y. Katznelson, An ergodic Szemerédi theorem for commuting transformations, J. Analyse Math. 34 (1978), 275–291 (1979). MR 531279, https://doi.org/10.1007/BF02790016
  • [H] P. R. Halmos, Lectures on ergodic theory, Chelsea, New York, 1960. MR 111817
  • [R] V. A. Rokhlin, Selected topics from the metric theory of dynamical systems, Amer. Math. Soc. Transl. (2) 49 (1966), 171-209.
  • [RN] F. Riesz and B. Sz.-Nagy, Functional analysis, Ungar, New York, 1955. MR 71727

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DOI: https://doi.org/10.1090/S0273-0979-1982-15052-2

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