First steps in random walks from tools to applications
(eBook)

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Published
Oxford : Oxford University Press, 2011.
Physical Desc
vi, 152 pages : ill.
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eBook
Language
English

Notes

Bibliography
Includes bibliographical references and index.
Description
"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.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

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Citations

APA Citation, 7th Edition (style guide)

Klafter, J., & Sokolov, I. M. (2011). First steps in random walks: from tools to applications . Oxford University Press.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Klafter, J and Igor M. Sokolov. 2011. First Steps in Random Walks: From Tools to Applications. Oxford University Press.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Klafter, J and Igor M. Sokolov. First Steps in Random Walks: From Tools to Applications Oxford University Press, 2011.

MLA Citation, 9th Edition (style guide)

Klafter, J., and Igor M. Sokolov. First Steps in Random Walks: From Tools to Applications Oxford University Press, 2011.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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38d04455-0ac1-c918-2a09-520146a9dfbc-eng
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Grouped Work ID38d04455-0ac1-c918-2a09-520146a9dfbc-eng
Full titlefirst steps in random walks from tools to applications
Authorklafter j
Grouping Categorybook
Last Update2022-06-07 21:23:19PM
Last Indexed2024-04-13 03:10:48AM

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24510|a First steps in random walks|h [eBook] :|b from tools to applications /|c J. Klafter and I.M. Sokolov.
260 |a Oxford :|b Oxford University Press,|c 2011.
300 |a vi, 152 p. :|b ill.
504 |a Includes bibliographical references and index.
5050 |a 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. Lévy flights -- 8. Coupled CTRW and Lévy walks -- 9. Simple reactions : A+B->B -- 10. Random walks on percolation structures.
520 |a "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"--|c Provided by publisher.
533 |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
650 0|a Random walks (Mathematics)
655 4|a Electronic books.
7001 |a Sokolov, Igor M.,|d 1958-
7102 |a ProQuest (Firm)
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85640|u http://ebookcentral.proquest.com/lib/prescottcollege-ebooks/detail.action?docID=1179556|x Prescott College|y Prescott College users click here to access
85640|u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=1179556|x Yavapai Library Network|y All other users click here to access
945 |a E-Book