Volume 2: Random Environments

Erscheinungsjahr 1996
ISBN: 978-0-19-853789-2
Verlag: Oxford University Press

Buch, Englisch, 550 Seiten, Print PDF, Format (B × H): 162 mm x 241 mm, Gewicht: 948 g

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.

Autoren/Hrsg.

Hughes, Barry D.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Technische Wissenschaften Verfahrenstechnik | Chemieingenieurwesen | Biotechnologie Biotechnologie Industrielle Biotechnologie
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

- 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