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