Random Walk and Diffusion Models: An Introduction for Life and Behavioral Scientists

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Wolf Schwarz

Random Walk and Diffusion Models

An Introduction for Life and Behavioral Scientists

Wolf Schwarz

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Hardback

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English

Springer International Publishing AG
07 October 2022

Probability & statistics; Applied mathematics; Stochastics; Life sciences: general issues

This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond their traditional origins in physics, for example, in studies of animal behavior, ecology, sociology, sports science, population genetics, public health applications, and human decision making. Developing the main formal concepts, the book provides detailed and intuitive step-by-step explanations, and moves smoothly from simple to more complex models. Finally, in the last chapter, some successful and original applications of random walk and diffusion models in the life and behavioral sciences are illustrated in detail. The treatment of basic techniques and models is consolidated and extended throughout by a set of carefully chosen exercises.

By: Wolf Schwarz
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2022
Dimensions: Height: 235mm, Width: 155mm,
Weight: 506g
ISBN: 9783031120992
ISBN 10: 303112099X
Pages: 209
Publication Date: 07 October 2022
Audience: College/higher education , Professional and scholarly , A / AS level , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction.- Discrete random Walks.- The Correlated Random Walk.- The Diffusion Limit.- The Wiener process.- More general Diffusion Processes.- Differential Equations for Probabilities.- Applications.

Wolf Schwarz is a professor at the University of Potsdam where he teaches mathematical modeling and applied statistics for life scientists. He has published extensively in leading journals devoted to applied probability, statistics, and the behavioral or life sciences. His previous book 40 Puzzles and Problems in Probability and Mathematical Statistics was published by Springer in the Problem Books in Mathematics series.