6 citations · 13 across the 8 of their papers we have counts for
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Conditional Stable Laws and Rare-Event Limits for Absorbing Markov Chains
Bernat Bassols Cornudella, Matheus M Castro
We establish conditional limit theorems, pointwise in the initial state, for absorbing Markov chains on a compact metric space . We assume -continuous transition densi…
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…
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…