Ergodicity of one-dimensional resource sharing systems

Enrique Andjel, F. Javier López and Gerardo Sanz

Stochastic Processes and their Applications, 2002, vol. 98, issue 1, 1-22

Abstract: We study one-dimensional resource sharing systems which can be seen as interacting particle systems taking values in . We first get, by coupling techniques, an estimate of their invariant measures. Then, for processes having a reversible measure, we show the uniqueness of the invariant measure and conclude that they are ergodic. As a consequence, we prove that every loss network on with calls of bounded length is ergodic.

Keywords: Resource sharing systems Loss networks Ergodicity; Relative entropy Coupling (search for similar items in EconPapers)
Date: 2002
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