2 papers
math.AP2026
Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations
Ziran Liu, Hung V. Tran, Yifeng Yu
We study the periodic homogenization of the viscous Hamilton--Jacobi equation \[ u_t^\varepsilon + \frac{1}{2}|Du^\varepsilon|^2 + V\!\left(\frac{x}{\varepsilon}\right) = \frac{\va…
math.PR2022
Reflected Brownian Motion with Drift in a Wedge
Peter Lakner, Ziran Liu, Josh Reed
We study reflecting Brownian motion with drift constrained to a wedge in the plane. Our first set of results provide necessary and sufficient conditions for existence and uniquenes…