2 papers
math-ph2024
Spectral Analysis of Lattice Schrödinger-Type Operators Associated with the Nonstationary Anderson Model and Intermittency
Dan Han, Stanislav Molchanov, Boris Vainberg
The research explores a high irregularity, commonly referred to as intermittency, of the solution to the non-stationary parabolic Anderson problem: \begin{equation*} \frac{\partial…
math.PR2023
Non-stationary Lattice Anderson Model with Non-local Laplacian and Correlated White Noise
Xiaoyun Chen, Dan Han, Stanislav Molchanov
We study the non-stationary Anderson parabolic problem on the lattice , i.e., the equation \begin{equation}\label{andersonmodel} \begin{aligned} \frac{\partial u}{\partial t}…