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Séminaire informel de théorie des systèmes (ISS)

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


10 mars 2023   12h00 — 13h00

Georgi Medvedev Drexel University, États-Unis

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 responsable
Aditya Mahajan responsable
Shuang Gao responsable


Montréal Québec

Organisme associé

Centre for intelligent machines (CIM)

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