Carissimi, il Dipartimento di Matematica dell'Università di Trento invita gli interessati al seguente seminario:


A mean-field model with discontinuous coefficients for interacting neurons

Lunedì 16 aprile 2018

Luogo: Aula seminari (piano terra) Dipartimento di Fisica
Ore: 15:00

Relatore:

  • Giovanni Alessandro Zanco (IST Wien)

Abstract:

We propose a new stochastic model for a system of interacting neurons that follow an integrate-and-fire dynamics with interaction that depends on the (random) spatial configuration of neurons and with discontinuous coefficients.
We prove strong well-posedness of the resulting system of SDEs and study the mean-field limit as the number of particles tends to infinity. We obtain a Fokker-Planck-type PDE and show that it has a unique weak function-valued solution, obtained as the limit of the laws of the empirical measures for the system of particles.

Referente: Stefano Bonaccorsi