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Correlated random walks
Authors:S. M. T. de la Selva  Katja Lindenberg  Bruce J. West
Affiliation:(1) Department of Chemistry, B-040, University of California at San Diego, 92093 La Jolla, California;(2) Institute for Nonlinear Science, R-002, University of California at San Diego, 92093 La Jolla, California;(3) Division of Applied Nonlinear Problems, La Jolla Institute, 92038 La Jolla, California;(4) Present address: Departamento de Física, Universidad Autónoma Metropolitana, 13 D.F. Iztapalapa, Mexico
Abstract:We present a new approach to the calculation of first passage statistics for correlated random walks on one-dimensional discrete systems. The processes may be non-Markovian and also nonstationary. A number of examples are used to demonstrate the theory.
Keywords:Random walks  correlated  multistate  nonstationary  sluggish walker
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