4 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
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}…
Convergence Rate of Sample Mean for -Mixing Random Variables with Heavy-Tailed Distributions
F. Q. Tang, D. Han
This article studies the convergence rate of the sample mean for -mixing dependent random variables with finite means and infinite variances. Dividing the sample mean into sum o…
One Explicitly Solvable Model For The Galton-Watson Processes In the Random Environment
Dan Han, Stanislav Molchanov, Yanjmaa Jutmaan
In this paper, we study the Galton-Watson process in the random environment for the particular case when the number of the offsprings in each generation has the fractional linear g…
Branching Random Walks with Immigration. Lyapunov Stability
Yu. Makarova, D. Han, S. Molchanov +1
We consider a continuous-time symmetric branching random walk on multidimensional lattices with immigration and infinite number of initial particles. We assume that at every lattic…
Population Processes with Immigration
Dan Han, Stanislav Molchanov, Joseph Whitmeyer
The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or non-stationary ones. We also…