A Guide to First-passage Processes
By (author) Sidney Redner
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Guide to First-passage Processes by Sidney Redner
Book DescriptionFirst-passage properties underlie a wide range of stochastic processes, such as diffusion-limited growth, neuron firing and the triggering of stock options. This book provides a unified presentation of first-passage processes, which highlights its interrelations with electrostatics and the resulting powerful consequences. The author begins with a presentation of fundamental theory including the connection between the occupation and first-passage probabilities of a random walk, and the connection to electrostatics and current flows in resistor networks. The consequences of this theory are then developed for simple, illustrative geometries including the finite and semi-infinite intervals, fractal networks, spherical geometries and the wedge. Various applications are presented including neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin systems and the kinetics of diffusion-controlled reactions. First-passage processes provide an appealing way for graduate students and researchers in physics, chemistry, theoretical biology, electrical engineering, chemical engineering, operations research and finance to understand all of these systems.
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Book DetailsISBN: 9780521036917
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-May-2007
Country of Publication: United Kingdom
Books By Author Sidney Redner
Kinetic View of Statistical Physics, Hardback (November 2010)
Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics.
Guide to First-Passage Processes, Hardback (August 2001)» View all books by Sidney Redner
The basic theory presented in a way which emphasizes intuition, problem-solving and the connections with other fields.
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Author Biography - Sidney Redner
Sid Redner is a condensed-matter theorist whose research focuses on non-equilibrium statistical physics and its applications. Dr Redner has been on the physics faculty at Boston University since 1978 and has been a full professor since 1989. He has published 230 research articles and is the author of A Kinetic View of Statistical Physics with P. L. Krapivsky and E. Ben-Naim (Cambridge University Press, 2010). Dr Redner is a Fellow of the American Physical Society and was a visiting scientist at Schlumberger Research in 1984-1985, the Ulam Scholar at Los Alamos National Laboratory in 2004-2005 and a visiting professor at the Universite Paul Sabatier (Toulouse) and Universite Pierre et Marie Curie (Paris) in 2008.
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