Elements of Random Walk and Diffusion Processes 

Author:
 Ibe, Oliver C. 
Series title:  Wiley Series in Operations Research and Management Science Ser. 
ISBN:  9781118618066 
Publication Date:  Aug 2013 
Publisher:  John Wiley & Sons, Incorporated

Book Format:  Ebook 
List Price:  Contact Supplier contact

Book Description:

Presents an important and unique introduction to random walk theory
Random walk is a stochastic process that has proven to be a useful model in understanding discretestate discretetime processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including numerous practical examples and exercises with realworld applications in operations research, economics, engineering,...
More Description
Presents an important and unique introduction to random walk theory
Random walk is a stochastic process that has proven to be a useful model in understanding discretestate discretetime processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including numerous practical examples and exercises with realworld applications in operations research, economics, engineering, and physics.
Featuring an introduction to powerful and general techniques that are used in the application of physical and dynamic processes, the book presents the connections between diffusion equations and random motion. Standard methods and applications of Brownian motion are addressed in addition to Levy motion, which has become popular in random searches in a variety of fields. The book also covers fractional calculus and introduces percolation theory and its relationship to diffusion processes.
With a strong emphasis on the relationship between random walk theory and diffusion processes, Elements of Random Walk and Diffusion Processes features:
 Basic concepts in probability, an overview of stochastic and fractional processes, and elements of graph theory
 Numerous practical applications of random walk across various disciplines, including how to model stock prices and gambling, describe the statistical properties of genetic drift, and simplify the random movement of molecules in liquids and gases
 Examples of the realworld applicability of random walk such as node movement and node failure in wireless networking, the size of the Web in computer science, and polymers in physics
 Plentiful examples and exercises throughout that illustrate the solution of many practical problems
Elements of Random Walk and Diffusion Processes is an ideal reference for researchers and professionals involved in operations research, economics, engineering, mathematics, and physics. The book is also an excellent textbook for upperundergraduate and graduate level courses in probability and stochastic processes, stochastic models, random motion and Brownian theory, random walk theory, and diffusion process techniques.