Long term behaviour of a reversible system of interacting random walks

Abstract

This paper concerns the long-term behaviour of a system of interacting random walks labeled by vertices of a finite graph. The model is reversible which allows to use the method of electric networks in the study. In addition, examples of alternative proofs not requiring reversibility are provided.

References in corpus (2)

• Long term behaviour of locally interacting birth-and-death processes
• Localisation in a growth model with interaction

Cited by in corpus (3)

• Probabilistic models motivated by cooperative sequential adsorption
• Boundary effect in competition processes
• Linear competition processes and generalized Polya urns with removals