Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



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
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, 10.1007/BF02790016
  • Paul R. Halmos, Lectures on ergodic theory, Chelsea Publishing Co., New York, 1960. MR 0111817
  • [R] V. A. Rokhlin, Selected topics from the metric theory of dynamical systems, Amer. Math. Soc. Transl. (2) 49 (1966), 171-209.
  • Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727

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