Stability on {0,1,2,...}^S: birth-death chains and particle systems

Thomas M. Liggett; Alexander Vandenberg-Rodes

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arXiv · 1009.4899

Stability on {0,1,2,...}^S: birth-death chains and particle systems

Thomas M. Liggett·Alexander Vandenberg-Rodes

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Abstract

A strong negative dependence property for measures on {0,1}^n - stability - was recently developed in [5], by considering the zero set of the probability generating function. We extend this property to the more general setting of reaction-diffusion processes and collections of independent Markov chains. In one dimension the generalized stability property is now independently interesting, and we characterize the birth-death chains preserving it.

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Thomas M. Liggett, Alexander Vandenberg-Rodes. 2010-09-24. Stability on {0,1,2,...}^S: birth-death chains and particle systems. https://arxiv.org/abs/1009.4899

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