First Steps in Random Walks: From Tools to Applications by J. Klafter, I. M. Sokolov

Books download kindle First Steps in Random Walks: From Tools to Applications by J. Klafter, I. M. Sokolov 9780198754091 CHM in English

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First Steps in Random Walks: From Tools to Applications
J. Klafter, I. M. Sokolov
Page: 160
Format: pdf, ePub, mobi, fb2
ISBN: 9780198754091
Publisher: Oxford University Press

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Books download kindle First Steps in Random Walks: From Tools to Applications by J. Klafter, I. M. Sokolov 9780198754091 CHM in English

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 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.

First Steps in Random Walks - Paperback - J. Klafter; I. M. Sokolov
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In this paper, we propose a generalized random walk description of a IM ( 2011) First Steps in Random Walks - From Tools to Applications. Random Walk: A Modern Introduction - University of Chicago
One of the main tools in the potential theory of random walk is the analysis of Most of the content of this text (the first eight chapters in particular) are However, if we start at a vertex in LT, the two-step distribution of this walk is the The statement of the LCLT given here is stronger than is needed for many applications. Elements of the Random Walk: An introduction for Advanced
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