4 citations · 7 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
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…
On population growth with catastrophes
Branda Goncalves, Thierry Huillet, Eva Löcherbach
In this paper we study a particular class of Piecewise deterministic Markov processes (PDMP's) which are semi-stochastic catastrophe versions of deterministic population growth mod…