Applications of Duality to a Class of Markov Processes

Schwartz, Diane L.

Ann. Probab., Tome 5 (1977) no. 6, p. 522-532 / Harvested from Project Euclid

Résumé

Let $S$ be a countable set and let $\xi_t$ be a Markov process on the subsets of $S$. Harris has given criteria for the existence of a dual process $\xi_t^\ast$ on the finite subsets of $S$. By extending Harris's notion of duality the class of $\xi_t$ which have dual processes is enlarged. The dual processes are then used to study the ergodic behavior of $\xi_t$. Also treated is a class of $\xi_t$ which have growing dual processes.

Publié le : 1977-08-14
Classification: Infinite particle systems, dual processes, 60K35

@article{1176995758,
     author = {Schwartz, Diane L.},
     title = {Applications of Duality to a Class of Markov Processes},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 522-532},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995758}
}

Schwartz, Diane L. Applications of Duality to a Class of Markov Processes. Ann. Probab., Tome 5 (1977) no. 6, pp.  522-532. http://gdmltest.u-ga.fr/item/1176995758/