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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
MathSciNet review:
670131
Full-text PDF
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
(82j:28010)
-
H.
Furstenberg and Y.
Katznelson, An ergodic Szemerédi theorem for commuting
transformations, J. Analyse Math. 34 (1978),
275–291 (1979). MR 531279
(82c:28032), http://dx.doi.org/10.1007/BF02790016
-
Paul
R. Halmos, Lectures on ergodic theory, Chelsea Publishing Co.,
New York, 1960. MR 0111817
(22 #2677)
-
[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
(17,175i)
- [F] H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, Princeton Univ. Press, Princeton, N. J., 1981. MR 603625
- [FK] H. Furstenberg and Y. Katznelson, An ergodic Szemerédi theorem for commuting transformations, J. d'Analyse Math. 34 (1978), 275-291. MR 531279
- [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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1982-15052-2
PII:
S 0273-0979(1982)15052-2
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