Tbilisi Analysis & PDE Seminar
Tbilisi Analysis & PDE Seminar
Dear Colleagues! V. Kupradze Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Tuesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).
Seminar on June 10, 2025
Speaker: Prof. Nathalie Ayi, Sorbonne University; https://www.sorbonne-universite.fr/en/portraits/nathalie-ayi
The title of the lecture: „Large Population Limit for Interacting Particle Systems on Weighted Graphs“
Abstract: When studying interacting particle systems, two distinct categories emerge: indistinguishable systems, where particle identity does not influence system dynamics, and non-exchangeable systems, where particle identity plays a significant role. One way to conceptualize these second systems is to see them as particle systems on weighted graphs. In this talk, we focus on the latter category. Recent developments in graph theory have raised renewed interest in understanding large population limits in these systems. Two main approaches have emerged: graph limits and mean-field limits. While mean-field limits were traditionally introduced for indistinguishable particles, they have been extended to the case of non-exchangeable particles recently. In this presentation, we introduce several models, mainly from the field of opinion dynamics, for which rigorous convergence results as \( N \) tends to infinity have been obtained. We also clarify the connection between the graph limit approach and the mean-field limit one. The works discussed draw from several papers, some co-authored with Nastassia Pouradier Duteil and David Poyato.
[1] S. Cooper, I.V. Kamotski, V.P. Smyshlyaev, Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems. arXiv:2307.13151 (2023).
Download Poster: Link to Download
How to join: The seminar is organized on the Zoom Workplace. If you are already registered, you don't need to register again. Otherwise, to join the seminar, please send an e-mail to seminarim@ug.edu.ge or register here:
https://forms.gle/xfQJ9fg1uqe7CrZw6
You will then receive further information.
You can also join an online seminar without installing Webex by just clicking on the meeting link of the seminar. You will be connected via browser e.g. Firefox, Google Chrome, Microsoft Edge or whatever.
Organizers:
Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi
Technical support:
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi
Z. Vashakidze, Institute of Mathematics, University of Georgia, Tbilisi
Seminar of our partners:
Seminar on Analysis, Differential Equations and Mathematical Physics
