A Characterization of the Invariant Measures for an Infinite Particle System with Interactions
Open Access
- 1 May 1973
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 179, 433-453
- https://doi.org/10.2307/1996513
Abstract
Let be the transition function for a symmetric, irreducible, transient Markov chain on the countable set S. Let be the infinite particle system on S with the simple exclusion interaction and one-particle motion determined by p. A characterization is obtained of all the invariant measures for in terms of the bounded functions on S which are harmonic with respect to . Ergodic theorems are proved concerning the convergence of the system to an invariant measure.Keywords
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