On the Green’s function for a one-dimensional random walk

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1987 English Publisher:Springer Science and Business Media LLCJournal:Cell Biophysics, volume 11, pages 19-24 (issn: 0163-4992,

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Authors: R M, Mazo;

doi: 10.1007/bf02797109

pmid: 2450660

On the Green’s function for a one-dimensional random walk

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Abstract

The Green's function of a random walk on a lattice is defined as the inverse of the operator K - z1, where K is the matrix of transition rates and z is an arbitrary complex parameter. The Green's function for a symmetrical random walk in one dimension is here explicitly given in closed form for reflecting, periodic, and absorbing boundaries, and also for an infinite lattice.

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University of Oregon
United States

Keywords

Stochastic Processes, Crystallography, Biophysics, Biophysical Phenomena, Probability

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