4 papers
Optimal control of SDEs with merely measurable drift: an HJB approach
Kai Du, Qingmeng Wei
The paper studies optimal control of diffusions whose drift and cost are only measurable, using a Hamilton‑Jacobi‑Bellman (HJB) approach to establish existence, uniqueness, and ver…
Atomically-sharp magnetic soliton in the square-net lattice EuRhAlSi
Kevin Allen, Juba Bouaziz, Yichen Zhang +17
Topological spin textures are hallmark manifestations of competing interactions in magnetic matter. Their effective description by nonlinear field theories reflects an energetic fr…
Propagation of chaos for the Landau equation via microcanonical binary collisions
Kai Du
We develop a fully constructive, conservative, and collision-level realization of Kac's program for the spatially homogeneous Landau equation across the full interaction range, inc…
Self-interacting approximation to McKean-Vlasov long-time limit: a Markov chain Monte Carlo method
Kai Du, Zhenjie Ren, Florin Suciu +1
For a certain class of McKean-Vlasov processes, we introduce proxy processes that substitute the mean-field interaction with self-interaction, employing a weighted occupation measu…