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Title:  tbc


Title:  tbc

Analyzing Asymptotics of Stochastic Processes through Optimal Transport 


Date:   September 18th, 2023, at 14:30 (Italian time)

The seminar will be held at the GSSI Auditorium (Viale Jacobucci 2, blue room) 

and it will be also streamed through zoom 

onsite:   GSSI Auditorium (Viale Jacobucci 2, blue room)

zoom:  The seminar will be also streamed through zoom at the link

ID riunione: 875 7129 7606

Passcode: SMAQ2223 


In this talk, we will present some recent progress on using optimal transport theory and PDE methods to analyze the empirical large-time behavior of stochastic processes. Specifically, we studied the asymptotic properties of the occupation measure for Brownian motion on flat tori, by deriving an upper bound that we conjecture to be sharp, in terms of Brownian interlacements on Euclidean space. Our techniques show the potential for generalized application to other types of diffusion processes on weighted manifolds, and a similar asymptotic analysis may be possible for a variety of stochastic models arising in physics, biology, and beyond. Based on a joint work with M. Mariani (arXiv:2307.10325).