Ebook deutsch gratis download First Steps in Random Walks: From Tools to Applications

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

First Steps in Random Walks: From Tools to Applications


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ISBN: 9780198754091 | 160 pages | 4 Mb
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  • First Steps in Random Walks: From Tools to Applications
  • J. Klafter, I. M. Sokolov
  • Page: 160
  • Format: pdf, ePub, fb2, mobi
  • ISBN: 9780198754091
  • Publisher: Oxford University Press
Download First Steps in Random Walks: From Tools to Applications

Ebook deutsch gratis download 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 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: From Tools to Applications by Klafter
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of the problem, and early references to applications); in the last decades, relevance of the probability that a random walker who starts at the origin, enters the first-passage-time) after n steps is independent of the particular details of the walk (CTRW) jump model [12] (not relying on subordinations schemes, see [6, 13]).

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