First steps in random walks [electronic resource] : from tools to applications / J. Klafter and I.M. Sokolov.

First steps in random walks [electronic resource] : from tools to applications / J. Klafter and I.M. Sokolov.

0199234868
9780199234868
9780191552953 (electronic book)

Oxford : Oxford University Press, 2011.

English

vi, 152 p. : ill.

QA274.73 .K53 2011

519.2/82

"The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by Louis Bachelier in his thesis devoted to the theory of financial speculations in 1900. Nowadays the theory of random walks has proved useful in physics and chemistry (diffusion, reactions, mixing in flows), economics, biology (from animal spread to motion of subcellular structures) and in many other disciplines. The random walk approach serves not only as a model of simple diffusion but of many complex sub- and super-diffusive transport processes as well. This book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description"-- Provided by publisher.

Includes bibliographical references and index.

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