[Forum SIS] Avviso seminario_Giovanni Zanco_16 aprile 2018_ore 11:00

[Claudio Agostinelli]

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