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£56.95

Cambridge University Press A Guide to First-Passage Processes

Name: A Guide to First-Passage Processes
Brand: Cambridge University Press
Price: 56.95 GBP
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Professional Finance

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Description

First-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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521036917
Category: Books > Subjects > Business, Finance & Law > Professional Finance
Domain: Amazon UK
Release Date: 21 June 2007
Listed Since: 21 February 2007

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Cambridge University Press A Guide to First-Passage Processes

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