Seminars
A list of past seminars is avalaible here:
List of upcoming seminars
Our seminars are scheduled on Monday, at 5.30 pm (Italian time), unless specified. For the list of upcoming seminars, expand the menu ticking on the arrow.
October Monday 16, 2023 - Giorgio Cipolloni ( Princeton)
Title: tbc
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October Monday 23, 2023 - Matteo Quatropani ( La Sapienza- Roms)
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
https://zoom.us/j/87571297606?pwd=bGY1ZGxpd2Y0THBEdG53Zmt3MVZ1UT09
ID riunione: 875 7129 7606
Passcode: SMAQ2223
Link to the slides:
http://people.dm.unipi.it/trevisan/blog/posts/SMAQ-2023/
Link to the recoding:
https://youtu.be/ZVJF1zaR7t0?si=nY8BI8My0o8uq8ll
Abstract
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).