Random invariant measures for Markov chains, and independent particle systems
โ Scribed by Thomas M. Liggett
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 893 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we present necessary and su cient conditions for the existence of a non-singular invariant probability measure for a Feller Markov chain taking values on a locally compact separable metric space. The necessary and su cient condition is written in terms of the Foster's criterion with a
Irreducible, continuous-time Markov models for reliability analysis axe considered whose finite state space is partitioned as G U B, where G and B stand for the set of system up ('good') and down ('bad') states, respectively. For a fixed length of time to > 0, let TG(to ) and Ns(t0) stand, respectiv
The authors continue to study a class of bulk queueing systems with a compound Poisson input modulated by a semi-Markov process, service control and a queue length dependent service delay discipline. A necessary and sufficient criterion of ergodicity of an embedded process is established and its sta