Showing papers by "Kurt E. Shuler published in 1992"
TL;DR: In this article, the authors study random walks on Ωd (d⩾ 1) containing traps subject to decay and derive a necessary and sufficient condition under which the walk eventually gets trapped with probability 1.
Abstract: We study random walks on ℤd (d⩾ 1) containing traps subject to decay. The initial trap distribution is random. In the course of time, traps decay independently according to a given lifetime distribution. We derive a necessary and sufficient condition under which the walk eventually gets trapped with probability 1. We prove bounds and asymptotic estimates for the survival probability as a function of time and for the average trapping time. These are compared with some well-known results for nondecaying traps.
8 citations