A System of Denumerably Many Transient Markov Chains
If $P$ is a transient Markov chain having the invariant measure $\mu$, and if at time 0 particles are distributed in the state space $\Omega$ according to the Poisson law, with mean $\mu(x)$ at $x$, and these particles are then allowed to move independently of the others according to the law $P$, the system maintains itself in macroscopic equilibrium. In this paper we investigate several phenomena connected with this system.
Permanent link to this document: http://projecteuclid.org/euclid.aoms/1177699522
Digital Object Identifier: doi:10.1214/aoms/1177699522
Mathematical Reviews number (MathSciNet): MR195152
Zentralblatt MATH identifier: 0141.15701