M ay 2 00 8 Central Limit Theorem for a Class of Linear Systems 1 Yukio NAGAHATA and
نویسنده
چکیده
Abstract We consider a class of interacting particle systems with values in [0,∞)Zd , of which the binary contact path process is an example. For d ≥ 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.
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تاریخ انتشار 2009