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

• 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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Free ebooks for ipad download First Steps in Random Walks: From Tools to Applications 9780198754091 by J. Klafter, I. M. Sokolov English version

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.

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First Steps in Random Walks: From Tools to Applications (Paperback)
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  
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However, the list of possible applications is much wider. Keywords: Markov tic networks the term 'random walk' was introduced [7], which describes defined as the average time (in number of steps or other units of time) for 
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ent applications use random walks as an integral subroutine. Applications in networks include dard tool called the synchronizer [32]. We assume that all that our algorithm implies that the first step can be done in. ˜O((n log n)2/3D1/3) 
First Steps in Random Walks: From Tools to Applications, by J
First Steps in Random Walks: From Tools to Applications, by J. Klafter and I.M. Sokolov, Oxford, Oxford University Press, 2011, vi + 152 pp., 
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Scaling Analysis of Random Walks with Persistence Lengths
We develop a new approach for scaling analysis of N-step Random Walks (RWs) . estimate ν0 exponents with the first non-analytical cor- rection to scaling. Walks: From Tools to Applications (Oxford Scholarship. Online 
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J. Klafter, I. M. Sokolov, First Steps in Random Walks: From Tools to Applications English | ISBN: 0199234868 | 2011 | 160 pages | PDF | 1 MB J. Klafter, I. M. 

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