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科图分类法:
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O211.6 版次： |
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中图分类法:
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O211.6 版次： |
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著者:
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Klafter, J. |
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题名:
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First steps in random walks : [ from tools to applications /] / , |
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出版发行:
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出版地： New York : 出版社： Oxford University Press, 出版日期： 2011. |
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载体形态:
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vi, 152 p. : ill. ; 26 cm. |
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内容提要:
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"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 the |