The Annals of Mathematical Statistics

A System of Denumerably Many Transient Markov Chains

S. C. Port

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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

Permanent link to this document
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
links.jstor.org

Citation

Port, S. C. A System of Denumerably Many Transient Markov Chains. Ann. Math. Statist. 37 (1966), no. 2, 406--411. doi:10.1214/aoms/1177699522. https://projecteuclid.org/euclid.aoms/1177699522


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