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math.AP2024
Longtime and chaotic dynamics in microscopic systems with singular interactions
Alexis Béjar-López, Alain Blaustein, Pierre-Emmanuel Jabin +1
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of interacting point particles…
math.AP2022★ 1 cited
Concentration profiles in FitzHugh-Nagumo neural networks: A Hopf-Cole approach
Alain Blaustein, Emeric Bouin
In this paper we focus on a spatially extended FitzHugh-Nagumo model with interactions. In the regime where strong and local interactions dominate, we quantify how the probability…