Fall 2025
October 22, 2025, 4:00–5:00pm, EH4088
Speaker: Antonios Zitridis (University of Michigan)
Title: Singular Perturbations of Hamilton-Jacobi equations in the Wasserstein space
Abstract: In this talk, I will present a singular perturbation problem for second-order Hamilton–Jacobi equations, focusing on the asymptotic behavior of solutions as the perturbation parameter vanishes. The analysis is carried out in the framework of viscosity solutions for equations in the Wasserstein space, using the perturbed test function method adapted to this infinite-dimensional setting. I will also discuss connections with the homogenization of systems of slow–fast McKean–Vlasov stochastic differential equations.
October 29, 2025, 4:00–5:00pm, EH4088
Speaker: Alexander Volberg (MSU)
Title: Quantum Remez inequality for fast query learning of d-local Hamiltonians
Abstract: How to learn a 2^n times 2^n matrix by asking approximately log n questions? Of course there is no way. But if we know the matrix is a d-local Hamiltonian, then this becomes possible by a recent result of Lars Becker, Joe Slote, Ohad Klein, myself, and Haonan Zhang. The result is a certain dimension-free discrete Remez inequality. Its proof is probabilistic.