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On the Green's function for a one-dimensional random walk
1Institute of Theoretical Science, University of Oregon, Eugene 97403.
Cell Biophysics
|December 1, 1987
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.