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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 1567581
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: H. Furstenberg
Title: Recurrence in ergodic theory and combinatorial number theory
Additional book information: Princeton Univ. Press, 1981, vii + 199 pp., $25.00. ISBN 0-691-08269-3.

References [Enhancements On Off] (What's this?)

  • N. M. Akuliničev, On a dynamical system related to the distribution of the fractional parts of a second-degree polynomial, Dokl. Akad. Nauk SSSR 143 (1962), 503–505 (Russian). MR 0133432
  • J. Cigler, On a theorem of H. Weyl, Compositio Math. 21 (1969), 151–154. MR 245530
  • Harry Furstenberg, Stationary processes and prediction theory, Annals of Mathematics Studies, No. 44, Princeton University Press, Princeton, N.J., 1960. MR 0140151
  • H. Furstenberg, Strict ergodicity and transformation of the torus, Amer. J. Math. 83 (1961), 573–601. MR 133429, DOI 10.2307/2372899
  • H. Furstenberg, Y. Katznelson, and D. Ornstein, The ergodic theoretical proof of Szemerédi’s theorem, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 3, 527–552. MR 670131, DOI 10.1090/S0273-0979-1982-15052-2
  • F. J. Hahn, On affine transformations of compact abelian groups, Amer. J. Math. 85 (1963), 428–446. MR 155956, DOI 10.2307/2373133
  • F. J. Hahn, Skew product transformations and the algebras generated by $\textrm {exp}(p(n))$, Illinois J. Math. 9 (1965), 178–190. MR 174989
  • A. G. Postnikov, Ergodic problems in the theory of congruences and of Diophantine approximations, Proceedings of the Steklov Institute of Mathematics, No. 82 (1966), American Mathematical Society, Providence, R.I., 1967. Translated from the Russian by B. Volkmann. MR 0214560
  • William A. Veech, Topological dynamics, Bull. Amer. Math. Soc. 83 (1977), no. 5, 775–830. MR 467705, DOI 10.1090/S0002-9904-1977-14319-X

  • Review Information:

    Reviewer: Karl Petersen
    Journal: Bull. Amer. Math. Soc. 14 (1986), 305-309