Book Review
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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,
$115.00$
Peter G. Doyle and J. Laurie Snell, Random walks and electric networks, Carus Mathematical Monographs, vol. 22, Mathematical Association of America, Washington, DC, 1984. MR 920811
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
12. 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
- 1.
- P.G. Doyle and J.L. Snell. Random Walks and Electric Networks. Mathematical Association of America, (1984). The Carus Mathematical Monographs, Number 22. MR 89a:94023
- 2.
- W. Feller. An Introduction to Probability Theory and Its Applications, Volume I. Wiley, New York, 3rd edition, (1968). MR 37:3604
- 3.
- W. Feller. An Introduction to Probability Theory and Its Applications, Volume II. Wiley, New York, 2nd edition, (1971). MR 42:5292
- 4.
- G. Grimmett. Percolation. Springer, Berlin, (1989). MR 90j:60109
- 5.
- G. Grimmett. Percolation and Disordered Systems (St. Flour lectures, 1996), Lecture Notes in Math., Volume 1665. Springer, Berlin, (1997). CMP 98:06
- 6.
- H. Kesten. Percolation Theory for Mathematicians. Birkhäuser, Boston, (1982). MR 84i:60145
- 7.
- G.F. Lawler. Intersections of Random Walks. Birkhäuser, Boston, (1991). MR 92f:60122
- 8.
- N. Madras and G. Slade. The Self-Avoiding Walk. Birkhäuser, Boston, (1993). MR 94f:82002
- 9.
- P. Révész. Random Walk in Random and Non-Random Environments. World Scientific, Singapore, (1990). MR 92c:60096
- 10.
- F. Spitzer. Principles of Random Walk. Springer, New York, 2nd edition, (1976). MR 52:9383
- 11.
- D. Stauffer and A. Aharony. Introduction to Percolation Theory. Taylor and Francis, London, 2nd edition, (1992). MR 87k:82093
- 12.
- C. Vanderzande. Lattice Models of Polymers. Cambridge University Press, Cambridge, (1998).
- 13.
- G.H. Weiss. Aspects and Applications of the Random Walk. North-Holland, Amsterdam, (1994). MR 95m:60105
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