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math.PR2022★ 1 cited
Surface area and volume of excursion sets observed on point cloud based polytopic tessellations
Ryan Cotsakis, Elena Di Bernardino, Céline Duval
The excursion set of a smooth random field carries relevant information in its various geometric measures. From a computational viewpoint, one never has access to the continu…
math.PR2021
Interacting Hawkes processes with multiplicative inhibition
Céline Duval, Eric Luçon, Christophe Pouzat
In the present work, we introduce a general class of mean-field interacting nonlinear Hawkes processes modelling the reciprocal interactions between two neuronal populations, one e…
math.PR2020
Non-asymptotic control of the cumulative distribution function of Lévy processes
Céline Duval, Ester Mariucci
We propose non-asymptotic controls of the cumulative distribution function , for any , and any Lévy process such that its Lévy d…