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math.PR2017★ 4 cited
On time scales and quasi-stationary distributions for multitype birth-and-death processes
J. -R. Chazottes, P. Collet, S. Méléard
We consider a class of birth-and-death processes describing a population made of sub-populations of different types which interact with one another. The state space is $\mathbb…
math.PR2008★ 1 cited
Concentration inequalities for Markov processes via coupling
J. -R. Chazottes, F. Redig
We obtain moment and Gaussian bounds for general Lipschitz functions evaluated along the sample path of a Markov chain. We treat Markov chains on general (possibly unbounded) state…
math.PR2005
Relative entropy and waiting times for continuous-time Markov processes
Jean-Rene Chazottes, Cristian Giardina, Frank Redig
For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuo…