Starting from a given Markov kernel on a finite set V and a bijection g of V, we construct and study a time inhomogeneous Markov chain whose kernel at time n is obtained from K by transport of gn−1. We show that this construction leads to interesting examples, and we obtain quantitative results for some of these examples.
Publié le : 2010-10-15
Classification:
Time inhomogeneous Markov chains,
wave like behavior,
singular values,
60J05,
60J10
@article{1282747402,
author = {Saloff-Coste, L. and Z\'u\~niga, J.},
title = {Time inhomogeneous Markov chains with wave-like behavior},
journal = {Ann. Appl. Probab.},
volume = {20},
number = {1},
year = {2010},
pages = { 1831-1853},
language = {en},
url = {http://dml.mathdoc.fr/item/1282747402}
}
Saloff-Coste, L.; Zúñiga, J. Time inhomogeneous Markov chains with wave-like behavior. Ann. Appl. Probab., Tome 20 (2010) no. 1, pp. 1831-1853. http://gdmltest.u-ga.fr/item/1282747402/