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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.

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Book Review

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

Author: Barry D. Hughes
Title: Random walks and random environments
Additional book information: Vol. 1: Random walks, Clarendon Press, Oxford, New York, 1995, xxi+631 pp., ISBN 0-19-853788-3, $95.00$; 1996, xxiv+526 pp., ISBN 0-19-853789-1, $115.00$

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

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  • William Feller, An introduction to probability theory and its applications. Vol. I, 3rd ed., John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0228020
  • William Feller, An introduction to probability theory and its applications. Vol. II. , 2nd ed., John Wiley & Sons, Inc., New York-London-Sydney, 1971. MR 0270403
  • Geoffrey Grimmett, Percolation, Springer-Verlag, New York, 1989. MR 995460
  • 5.
    G. Grimmett. Percolation and Disordered Systems (St. Flour lectures, 1996), Lecture Notes in Math., Volume 1665. Springer, Berlin, (1997). CMP 98:06
  • Harry Kesten, Percolation theory for mathematicians, Progress in Probability and Statistics, vol. 2, Birkhäuser, Boston, Mass., 1982. MR 692943
  • Gregory F. Lawler, Intersections of random walks, Probability and its Applications, Birkhäuser Boston, Inc., Boston, MA, 1991. MR 1117680
  • Neal Madras and Gordon Slade, The self-avoiding walk, Probability and its Applications, Birkhäuser Boston, Inc., Boston, MA, 1993. MR 1197356
  • Pál Révész, Random walk in random and nonrandom environments, World Scientific Publishing Co., Inc., Teaneck, NJ, 1990. MR 1082348, DOI 10.1142/1107
  • Frank Spitzer, Principles of random walk, 2nd ed., Graduate Texts in Mathematics, Vol. 34, Springer-Verlag, New York-Heidelberg, 1976. MR 0388547
  • Dietrich Stauffer, Introduction to percolation theory, Taylor & Francis Group, London, 1985. MR 849782, DOI 10.4324/9780203211595
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    C. Vanderzande. Lattice Models of Polymers. Cambridge University Press, Cambridge, (1998).
  • George H. Weiss, Aspects and applications of the random walk, Random Materials and Processes, North-Holland Publishing Co., Amsterdam, 1994. MR 1280031

  • Review Information:

    Reviewer: Gordon Slade
    Affiliation: McMaster University
    Email: slade@math.mcmaster.ca
    Journal: Bull. Amer. Math. Soc. 35 (1998), 347-349
    DOI: https://doi.org/10.1090/S0273-0979-98-00762-9
    Review copyright: © Copyright 1998 American Mathematical Society