Abstract:
We consider a conditional McKean-Vlasov process known as the Markov local-field equation, which arises 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 this process. Specifically, we construct a global Lyapunov function for the measure flow via an entropy renormalization procedure. This is joint work with Kavita Ramanan.
Biography:
Kevin Hu is a Junior Fellow of the Simons Society of Fellows hosted by Dan Lacker at Columbia University. Previously, he obtained his Ph.D. in applied mathematics at Brown University in 2025 under the supervision of Kavita Ramanan. His research interests lie at the intersection of probability theory and mathematical physics. In his thesis, he studied propagation of chaos and the long-time behavior of sparsely interacting particle systems.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.