Hung V. Tran

collaborators

4 papers

math.AP2026

A Liouville theorem for convex functions with periodic Monge-AmpÃ¨re measure

Tianling Jin, YanYan Li, Hung V. Tran +1

We study global convex solutions of the Monge-AmpÃ¨re equation \[ \det D^2 u = Î¼\quad \text{in } \mathbb{R}^n, \] where $I^¼ \neq \equiv 0$ is a nonnegative locally finite periodic B…

math.PR2025

Homogenization of non-divergence form operators in i.i.d. random environments

Xiaoqin Guo, Timo Sprekeler, Hung V. Tran

We study random walks in a balanced, i.i.d. random environment in $Z^{d}$ for $d \geq 3$ . We establish improved convergence rates for the homogenization of the Dirichlet probl…

math.OC2025

Controlling Klein-Gordon Chains and Lattices

Sarah Strikwerda, Hung Vinh Tran, Minh-Binh Tran

In this work, we initiate the study of controlling nonlinear Klein-Gordon chains and lattices through their emergent collective flocking behavior. By constructing appropriate feedb…

math.AP2025

Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations

Hung Vinh Tran

We give a new representation formula for solutions to nonconvex first-order Hamilton--Jacobi equations in the periodic setting and present some applications. We then prove the larg…