From the 1 of 13 linked papers with an AI index.
2 citations · 2 across the 5 of their papers we have counts for
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Probabilistic estimates for a system of noisy integrate-and-fire neurons
Ben Hambly, Aldaïr Petronilia, Christoph Reisinger +1
In this note, we establish various probabilistic estimates for an interacting particle system that describes the evolution of the membrane potentials in a network of excitatory int…
Volterra clocks and their pure-jump limits: hitting times of curved boundaries
Eduardo Abi Jaber, Elie Attal, Andreas Sojmark
We introduce a class of continuous Volterra processes, called Volterra clocks, and study their singular limit as the memory kernel collapses to a Dirac mass at zero. The dynamics a…
An interacting particle system for the front of an epidemic advancing through a susceptible population
Eliana Fausti, Andreas Sojmark
We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates…
A free boundary problem for the mean-field limit of diffusing particles with nonlinear boundary reactivity
Eliana Fausti, Andreas Sojmark
Consider a finite system of diffusing particles coupled through a reactive boundary. Each particle is reflected, but may react with the boundary according to a killing mechanism wh…
The supercooled Stefan problem with transport noise: weak solutions and blow-up
Sean Ledger, Andreas Sojmark
We derive two weak formulations for the supercooled Stefan problem with transport noise on a half-line: one captures a continuously evolving system, while the other resolves blow-u…
Weak Convergence of Stochastic Integrals on Skorokhod Space in Skorokhod's J1 and M1 Topologies
Andreas Sojmark, Fabrice Wunderlich
We provide criteria for Itô integration to behave continuously with respect to Skorokhod's J1 and M1 topologies, when the integrands and integrators converge weakly or in probabil…