On Existence of Invariant Measures of a Continuous Contact Model in a Periodic Medium
Abstract
In their previous studies, the authors of the present paper considered contact models in homogeneous and inhomogeneous, deterministic or random media, on graphs and on the Lobachevsky plane. However, the case of contact model with spatially periodic birth rates has not been considered. Here, we study this class of random processes and formulate conditions on the birth and death rates under which there exists a family of invariant measures of a contact model in a periodic medium.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Random Matrices and Applications
Point processes and geometric inequalities
Publication details
- Journal / source
- Theory of Probability and Its Applications
- Publisher
- Society for Industrial & Applied Mathematics (SIAM)
- Volume
- 70
- Issue
- 4
- Pages
- 602–613
- Publication date
- 1 February 2026
- Language
- EN