## The Annals of Mathematical Statistics

### A System of Denumerably Many Transient Markov Chains

S. C. Port

#### Abstract

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.

#### Article information

Source
Ann. Math. Statist., Volume 37, Number 2 (1966), 406-411.

Dates
First available in Project Euclid: 27 April 2007

https://projecteuclid.org/euclid.aoms/1177699522

Digital Object Identifier
doi:10.1214/aoms/1177699522

Mathematical Reviews number (MathSciNet)
MR195152

Zentralblatt MATH identifier
0141.15701

JSTOR