Random Walks and Random Environments: Volume 2: Random Environments - Rilegato

Hughes, Barry D.

Rilegato

ISBN 10: 0198537891 ISBN 13: 9780198537892

Casa editrice: Clarendon Press, 1996

Riassunto

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, each chaotic step taking place at fixed time intervals, this volume addresses models in which the disorder is frozen in space-random environments.

The volume begins with a largely self-contained 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. It is supported by an extensive bibliography and very little prior knowledge is assumed.

Su questo libro

Recensione:

... the author has successfully illuminated these major areas which are of critical importance to mathematics and physics. Both areas are characterised by significant mathematical theory which contains many beautiful results, wide ranging physical applicability and a vast scientific literature. Undoubtedly, the painstaking careful exposition of these important areas will be of considerable benefit to these involved in the mathematical modelling of random physical phenomena. Barry Hughes must again be congratulated for his marvellous exposition. (Australian and New Zealand Physicist)

Contenuti:

• Notes on Text
• 1: An Introduction to Percolation Theory
• 2: Bernoulli Site Percolation
• 3: Percolation Thresholds
• 4: Critical Exponents in Percolation Theory
• 5: Transport and Conduction
• 6: Random Walk in a Random Environment
• 7: The Ant in the Labyrinth
• Errata for the first Printing of Volume 1
• Additional References for Volume 1
• Index

Su questa edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1996
• ISBN 10: 0198537891
• ISBN 13: 9780198537892
• Rilegatura: Copertina rigida
• Numero di pagine: 550