Giovanni Bonaschi's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT

Giovanni Bonaschi
(Technische Universiteit, Eindhoven)

title: Quadratic and rate-independent limits for a large-deviations 
functional

abstract: We construct a stochastic model showing the relationship 
between noise, gradient flows and rate-independent systems. The model 
consists of a one-dimensional birth-death process on a lattice, with 
rates derived from Kramers’ law as an approximation of a Brownian motion 
on a wiggly energy landscape. Taking various limits we show how to 
obtain a whole family of generalized gradient flows, ranging from 
quadratic to rate-independent ones, connected via ‘L log L’ gradient 
flows. This is achieved via Mosco-convergence of the renormalized 
large-deviations rate functional of the stochastic process.

Venue: SISSA, lecture room 133, Tuesday 10 February at 4 pm