Research Group:
Speaker:
Giovanni Bonaschi
Institution:
TU Eindhoven e Università di Pavia
Schedule:
Tuesday, February 10, 2015 - 16:00 to 17:00
Location:
A-133
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.