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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 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, DOI https://doi.org/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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