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Seminar
An H-theorem for a class of conditional McKean-Vlasov processes (joint with Probability seminar)
Speaker
Kavita Ramanan
Date
Wed, Feb 19 2025, 12:00pm
Location
384H

We consider conditional McKean-Vlasov processes that arise in the study of hydrodynamic limits of interacting diffusions on random regular graphs. We establish an H-theorem that characterizes the long-time behavior of these processes. Specifically, we show that a certain function related to the limit of certain renormalized relative entropies serves as a global Lyapunov function for the associated measure flow. We also provide counterexamples to highlight some subtleties in the approach and discuss some open problems. This is joint work with Kevin Hu.