3 papers
math.PR2026
On the Spectral Geometry and Small Time Mass of Anderson Models on Planar Domains
Pierre Yves Gaudreau Lamarre, Yuanyuan Pan
We consider the Anderson Hamiltonian (AH) and the parabolic Anderson model (PAM) with white noise and Dirichlet boundary condition on a bounded planar domain .…
math.PR2025
The damped wave equation and associated polymer
Yuanyuan Pan
Considering the damped wave equation with a Gaussian noise where is white in time and has a covariance function depending on spatial variables, we will see that this equati…
physics.optics2025
Spatial Offset of Excited States in Non-Hermitian Lattices
Xiaohan Jiang, Yuanyuan Pan, Yang Zhang +1
We investigate the behavior of light-wave packets injected into non-Hermitian microcavity lattices under highly dissipative conditions. While all eigenstates of the lattice exhibit…