Random Walks and Random Environments: Volume 2: Random Environments

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9780198537892: Random Walks and Random Environments: Volume 2: Random Environments

This is the second volume of a two-volume work devoted to probability theory in physical chemistry, and engineering. Rather than dealing explicitly with the idea of an ongoing random walk, with each chaotic step taking place at fixed time intervals, this volume addresses random environments-- models in which the disorder is frozen in space. It begins with an introduction to the geometry of random environments, emphasizing Bernoulli percolation models. The scope of the investigation then widens as we ask how structural disorder affects the transport process. The final chapters confront the interplay of two different forms of randomness; spatial randomness frozen into the environment and temporal randomness associated with the choices for next steps made by a random walker. The book ends with a discussion of "the ant in the labyrinth" problems and an extensive bibliography that, along with the rest of the material, will be of value to researchers in physics, mathematics, and chemical engineering.

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About the Author:

Barry D. Hughes is at University of Melbourne.

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`...a valuable resource and reference for an area of great contemporary interest. It can be read either as a survey, by skipping the proofs, or with closer attention to the detailed arguments presented especially in the percolation chapters. Make sure that your library purchases a copy; but if
you are an applied probabilist then you will also want a copy of your own, against the day when your applications lead you into this fascinating and challenging part of probability theory!'
Journal of the Royal Statistical Society, Series A, vol.160, part 2, June 1997

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