11 papers
The Homogeneous Landau Equation with Regularised Thermal Noise
Manh Hong Duong, Zihui He, Zhengyan Wu
We introduce and analyze a fluctuating homogeneous Landau equation with regularised thermal noise. The model is motivated by the nonlocal gradient flow structure of the determinist…
Kinetic Fokker-Planck Equations with Nonlinear Diffusion
Zimo Hao, Zhengyan Wu, Xicheng Zhang
We study existence, regularity, and uniqueness for the nonlinear kinetic Fokker--Planck equation on $\mathbb R^{…
Kinetic Theory with Fluctuations: Well-Posedness of The Vlasov--Fokker--Planck--Dean--Kawasaki Equations
Zimo Hao, Zhengyan Wu, Johannes Zimmer
We study Vlasov--Fokker--Planck--Dean--Kawasaki equations driven by correlated conservative noise. For regular noise coefficients and bounded nonlocal interactions, we establish pr…
Dean-Kawasaki Equation with Biot-Savart and Keller-Segel Interactions: Existence and Large Deviations
Xiaohao Ji, Yue Sun, Zhengyan Wu
We establish the existence of probabilistically weak, renormalized kinetic solutions to the Dean--Kawasaki equation with singular interaction kernels, including those of Biot--Sava…
Operational time-reversal symmetry for unital qubit channels
Ouyang Ting, James Fullwood, Zhen Wu
The Bayesian inverse of a quantum channel is a channel in the reverse direction of that yields time-symmetric correlations for sequential…
Learning Equilibrium Fluctuation Expansions from Overdamped Langevin Dynamics
Lin Wang, Zhengyan Wu
We study higher-order small-noise fluctuation expansions for the overdamped Langevin dynamics in a quartic double-well potential. Assuming that the initial data admits a suitable e…