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math.PR2021
Scaling features of two special Markov chains involving total disasters
Branda Goncalves, Thierry Huillet
Catastrophe Markov chain population models have received a lot of attention in the recent past. We herewith consider two special cases of such models involving total disasters, bot…
cond-mat.stat-mech2021★ 4 cited
A generating function approach to Markov chains undergoing binomial catastrophes
Branda Goncalves, Thierry Huillet
In a Markov chain population model subject to catastrophes, random immigration events (birth), promoting growth, are in balance with the effect of binomial catastrophes that cause…