16 citations
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math.PR2022★ 5 cited
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb +1
In this paper, we consider absorbing Markov chains admitting a quasi-stationary measure on where the transition kernel admits an eigenfunction $0\leq η\i…
math.PR2021★ 2 cited
Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: a Banach lattice approach
Matheus M. Castro, Jeroen S. W. Lamb, Guillermo Olicón-Méndez +1
We establish the existence and uniqueness of quasi-stationary and quasi-ergodic measures for almost surely absorbed discrete-time Markov chains under weak conditions. We obtain our…