On the survival probability of generalized nearest-particle systems

Dayue Chen

Stochastic Processes and their Applications, 1988, vol. 30, issue 2, 209-223

Abstract: A class of spatial growth models, including reversible nearest-particle systems as special cases, is defined via the range of an underlying random walk. Lower and upper bounds for the survival probability are established under various assumptions. The proofs rely on potential theoretic results for the random walk.

Keywords: nearest-particle; systems; range; of; a; random; walk; birth; and; death; survival; probability; Dirichlet; principle (search for similar items in EconPapers)
Date: 1988
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