Вітаємо, СМС-спільното!

Цьогорічний сезон семінарів факультету комп'ютерних наук KSE відкриває подія під назвою

"Stochastic scattering control of Walsh's spider diffusion with optimal diffraction probability measure selected from its own local-time".

Спікер: Isaac Ohavi, Hebrew University of Jerusalem.

Коли: Пт, 12 вересня о 16:00-18:00.

Де: KSE (вул. Миколи Шпака 3), aуд. 4.05.

Реєстрація за посиланням.
Zoom трансляція за посиланням.

Анотація доповіді:

In this talk, we start by giving a short Introduction on Walsh’s spider diffusions living on a star-shaped network. We give the main properties of this type of processes, focusing especially on their local time at the vertex. Thereafter, we will give the main ideas, steps and mathematical directions that I have recently undertaken in order to finally be able to prove existence and weak uniqueness of a spider's motion having a spinning measure depending on its own local time.

Hence, we will introduce a new problem of control related to this type of new processes. The stochastic control problem aims to understand how the spider particle is diffracted at the vertex. The key point is to use the new boundary condition at the junction point, called: nonlinear local-time Kirchhoff's boundary condition and the recent advances I have obtained in the analysis of nonlinear partial differential equations in the viscosity framework.