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Continuous-time random walks

J. Klafter and I.M. Sokolov

in First Steps in Random Walks: From Tools to Applications

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199234868
eISBN:
9780191775024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234868.003.0003
Subject:
Physics, Soft Matter / Biological Physics

Up to now the book has considered the displacement and the return properties of a walker as functions of the number of steps. In physics and chemistry we however are mostly interested in the behavior ... More


Coupled CTRW and Lévy walks

J. Klafter and I.M. Sokolov

in First Steps in Random Walks: From Tools to Applications

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199234868
eISBN:
9780191775024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234868.003.0008
Subject:
Physics, Soft Matter / Biological Physics

The divergent moments of Levy flights are often considered as a handicap for using this model in physics. The remedy is introducing the space‐time coupling, i.e. taking into account that in most ... More


Hölder Regularity for Generalized Master Equations with Rough Kernels

Luis Caffarelli and Luis Silvestre

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger, Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)

in Advances in Analysis: The Legacy of Elias M. Stein

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.003.0004
Subject:
Mathematics, Numerical Analysis

This chapter studies evolution problems that are related to continuous time random walks (CTRW), having a discontinuous path for which both the jumps and the time elapsed in between them are random. ... More


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