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ISS Informal Systems Seminar

Graphon Dynamical Systems: A Law of Large Numbers, Large Deviations, and Applications


Mar 10, 2023   12:00 PM — 01:00 PM

Georgi Medvedev Drexel University, United States

Georgi Medvedev

We study a class of evolution equations, which are derived as a continuum limit of interacting dynamical systems on convergent graph sequences. For systems on random graphs, we present a dynamical law of large numbers and a large deviation principle. We also discuss applications to the analysis of synchronization, pattern formation, and metastability in the Kuramoto model of coupled oscillators.

Biography: Georgi Medvedev received Ph.D. in Mathematics from Boston University in 1999. Before coming to Drexel University in 2002, he was a Veblen Research Instructor at Princeton University and the Institute for Advanced Study.

Peter E. Caines organizer
Aditya Mahajan organizer
Shuang Gao organizer


Online meeting
Montréal Québec

Associated organization

Centre for intelligent machines (CIM)

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