Random Walks and Random Environments: Volume 1: Random Walks

Hardcover | April 1, 1993

byBarry D. HughesAs told byBarry D. Highes

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This is the first volume of a two-volume work devoted to probability theory in physics, physical chemistry and engineering. This volume provides an introduction to the problem of "random walk" and its applications. In its simplest form, the random walk describes the motion of an idealizeddrunkard and is a discrete analogue of the diffusion through a medium with traps, laser speckle and the conformations of polymers in dilute solution. Prior knowledge of probability theory is helpful, but not assumed.

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This is the first volume of a two-volume work devoted to probability theory in physics, physical chemistry and engineering. This volume provides an introduction to the problem of "random walk" and its applications. In its simplest form, the random walk describes the motion of an idealizeddrunkard and is a discrete analogue of the dif...

B. D. Hughes is at University of Melbourne.

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Format:HardcoverDimensions:652 pages, 9.21 × 6.14 × 1.46 inPublished:April 1, 1993Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198537883

ISBN - 13:9780198537885

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Table of Contents

1. Introduction2. Random walks and random flights3. Random Walks on a Lattice4. Random walks in the continuum limit5. Continuous-time random walks6. Exploration and Trapping7. The Self-Avoiding WalkAppendices: Special Functions for Random Walk Problems; Mellin Transforms and Asymptotic Expansions; Green Functions for Lattice Walks:

Editorial Reviews

`This is the book on random walks.[]Every attempt has been made to make the book accessible to physicists and chemists with interests in its area, without in any way sacrificing mathematical rigour. Both volumes are clearly essential purchases for serious reference libraries in probabilitytheory.'Journal of the Royal Statistical Society, Series A, vol.159, part 3, October 1996