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First steps in random walks : from tools to applications /

"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...

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Bibliographic Details
Main Authors: Klafter, J. (Joseph)
Corporate Authors: Oxford University Press.
Group Author: Sokolov, Igor M., 1958-
Published: Oxford University Press,
Publisher Address: New York :
Publication Dates: 2011.
Literature type: eBook
Language: English
Subjects:
Random walks (Mathematics)
Online Access: http://www.iresearchbook.cn/f/ebook/detail?id=94fb74107e16495999997f58c42826bb
Summary: "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.
Item Description: First published in paperback 2015.
Carrier Form: 1 online resource (vi, 152 pages) : illustrations, forms
Bibliography: Includes bibliographical references and index.
ISBN: 9780191552953
9780199234868
Index Number: QA274
CLC: O211.6
Contents: Machine generated contents note: -- 1. Characteristic Functions -- 2. Generating Functions and Applications -- 3. Continuous Time Random Walks -- 4. CTRW and Aging Phenomena -- 5. Master Equations -- 6. Fractional Diffusion and Fokker-Planck Equations for Subdiffusion -- 7. Levy Flights -- 8. Coupled CTRW and Levy Walks -- 9. Simple Reactions: A+B->B -- 10. Random Walks on Percolation Structures.

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