2 papers
math.PR2025
Tractable description of hydrodynamic limits of a class of interacting jump processes on sparse graphs
Juniper Cocomello, Michel Davydov, Kavita Ramanan
We consider dynamics of the empirical measure of vertex neighborhood states of Markov interacting jump processes on sparse random graphs, in a suitable asymptotic limit as the grap…
math.PR2025
Poisson Hypothesis and large-population limit for networks of spiking neurons
Daniele Avitabile, Michel Davydov
We study mean-field descriptions for spatially-extended networks of linear (leaky) and quadratic integrate-and-fire neurons with stochastic spiking times. We consider large-populat…