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math.PR2022★ 1 cited
Perfect simulation for interacting Hawkes processes with variable length memory
Branda Goncalves, Paul Gresland
We consider a nonlinear multivariate Hawkes process having a variable length memory which allows to describe the activity of a neuronal network by its membrane potential. We propos…
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…
math.PR2020
On decay-surge population models
Branda Goncalves, Thierry Huillet, Eva Löcherbach
We consider continuous space-time decay-surge population models which are semi- stochastic processes for which deterministically declining populations, bound to fade away, are rein…