Talk page

Title:
From quantization of measures to weighted ultrafast diffusion equations

Speaker:
Mikaela Iacobelli

Abstract:
In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approach to the problem of quantization of measures, introduced in a series of joint papers with Emanuele Caglioti and François Golse. In this presentation I will focus on a result obtained in collaboration with Francesco Saverio Patacchini and Filippo Santambrogio, where we use the JKO scheme to obtain existence, uniqueness, and exponential convergence to equilibrium under minimal assumptions on the data.

Link:
https://www.msri.org/workshops/928/schedules/28385

Workshop:
MSRI- [Moved Online] Hot Topics: Optimal transport and applications to machine learning and statistics