Stability on {0, 1, 2, …} S : Birth-Death Chains and Particle Systems [chapter]

Thomas M. Liggett, Alexander Vandenberg-Rodes
2011 Notions of Positivity and the Geometry of Polynomials  
A strong negative dependence property for measures on {0, 1} nstability -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. (2000) . Primary 60K35; Secondary 33C45, 60G50,
more » ... 33C45, 60G50, 60J80. Mathematics Subject Classification
doi:10.1007/978-3-0348-0142-3_17 fatcat:loommsba6nfyvfvapmbxd365yi