报告时间:2025年12月3日(周三)上午 10:30-11:30
报告地点:苏州大学天赐庄校区精正楼306
报告人:Dr. Nicola De Nitti,Assistant Professor, University of Pisa(意大利Pisa大学)
报告摘要:
We study the problem of transporting one probability measure to another via an autonomous velocity field. We rely on tools from the theory of optimal transport. In one space-dimension, we solve a linear homogeneous functional equation to construct a suitable autonomous vector field that realizes the (unique) monotone transport map as the time-1 map of its flow. Generically, this vector field can be chosen to be Lipschitz continuous. We then use Sudakov's disintegration approach to deal with the multidimensional case by reducing it to a family of one-dimensional problems. This talk is based on a joint work with Xavier Fernández-Real.
报告人简介:
Nicola De Nitti earned his Ph.D.in Mathematics, summa cum laude, from FAU Erlangen-Nürnberg in July 2023 under the supervision of Enrique Zuazua. He was a postdoctoral researcher in Maria Colombo's group at EPFL from September 2023 to March 2025. Since April 2025, he has been a tenure-track assistant professor in mathematical analysis at the University
of Pisa.
邀请人:王云