A Note on the Diffusive Scaling Limit for a Class of Linear Systems
Probability
2010-09-14 v2 Mathematical Physics
math.MP
Abstract
We consider a class of continuous-time stochastic growth models on -dimensional lattice with non-negative real numbers as possible values per site. We remark that the diffusive scaling limit proven in our previous work [Nagahata, Y., Yoshida, N.: Central Limit Theorem for a Class of Linear Systems, Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009)] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.
Cite
@article{arxiv.0909.3560,
title = {A Note on the Diffusive Scaling Limit for a Class of Linear Systems},
author = {Yukio Nagahata and Nobuo Yoshida},
journal= {arXiv preprint arXiv:0909.3560},
year = {2010}
}