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Central Limit Theorem for a Class of Linear Systems

   
@article{EJP644,
	author = {Yukio Nagahata and Nobuo Yoshida},
	title = {Central Limit Theorem for a Class of Linear Systems},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {central limit theorem, linear systems, binary contact path process, diffusive behavior, delocalization},
	abstract = {We consider a class of interacting particle systems with values  in $[0,∞)^{\mathbb{Z}^d}$, of which the binary contact path process  is an example.  For $d \geq 3$ and under a certain square integrability condition  on the total number of the particles, we prove a central limit theorem  for the density of the particles, together  with upper bounds for the density of the most populated site and  the replica overlap.},
	pages = {no. 34, 960-977},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-644},    
        url = {http://ejp.ejpecp.org/article/view/644}}