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math.PR2023
Stability of wandering bumps for Hawkes processes interacting on the circle
Zoé Agathe-Nerine
We consider a population of Hawkes processes modeling the activity of interacting neurons. The neurons are regularly positioned on the circle , and the connectivity be…
math.PR2022
Long-term stability of interacting Hawkes processes on random graphs
Zoé Agathe-Nerine
We consider a population of Hawkes processes modeling the activity of interacting neurons. The neurons are regularly positioned on the segment , and the connectivity bet…
math.PR2021
Multivariate Hawkes processes on inhomogeneous random graphs
Zoé Agathe-Nerine
We consider a population of interacting neurons, represented by a multivariate Hawkes process: the firing rate of each neuron depends on the history of the connected neurons. C…