Operator Equations of Branching Random Walks
Probability
2017-01-13 v1 Spectral Theory
Abstract
Consideration is given to the continuous-time supercritical branching random walk over a multidimensional lattice with a finite number of particle generation sources of the same intensity both with and without constraint on the variance of jumps of random walk underlying the process. Asymptotic behavior of the Green function and eigenvalue of the evolution operator of the mean number of particles under source intensity close to the critical one was established.
Cite
@article{arxiv.1701.03356,
title = {Operator Equations of Branching Random Walks},
author = {E. Yarovaya},
journal= {arXiv preprint arXiv:1701.03356},
year = {2017}
}
Comments
14 pages, 1 figure, 22 bibliography references