Scientific Seminar of the Computer Science Department at KSE

📢We cordially invite you to the upcoming Scientific Seminar of the Computer Science Department at KSE.
Title of the talk: "Stochastic scattering control of Walsh's spider diffusion with optimal diffraction probability measure selected from its own local-time".

In this talk, we will begin with a short introduction to Walsh’s spider diffusions on a star-shaped network, presenting their main properties with a special focus on the local time at the vertex. We will then outline the main ideas, steps, and mathematical directions recently undertaken to prove the existence and weak uniqueness of a spider's motion with a spinning measure depending on its own local time.

Building on this, we will introduce a new control problem related to such processes. The stochastic control problem seeks to understand how the spider particle is diffracted at the vertex. The key lies in applying a new boundary condition at the junction point, referred to as the nonlinear local-time Kirchhoff’s boundary condition, together with recent advances in the analysis of nonlinear partial differential equations in the viscosity framework.

🎙Speaker:
Isaac Ohavi, Hebrew University of Jerusalem

📅When: September 12, 16:00
📍Where: KSE, room 4.05 & Zoom
🔗Registration - https://forms.kse.ua/ssokseorgua/form/ScientificSeminarofComputerScienceDepartmentatKSE/formperma/WlJERdT2eQ8KbCO9tX1jBaNHyhd9fI2NQby_d6pXdOA?utm_source=social&utm_medium=facebook_event&utm_campaign=1&utm_id=Scientific_Seminar_of_Computer_Science_Department

Exploring the mathematics of complex stochastic processes not only advances theoretical knowledge but also opens new pathways for innovation in applied sciences. Join us to be part of this dialogue at the frontiers of probability, control, and mathematical analysis.

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