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Central Limit Theorem for a Class of Linear Systems

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 نشر من قبل Nobuo Yoshida
 تاريخ النشر 2009
  مجال البحث فيزياء
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We consider a class of interacting particle systems with values in $[0,8)^{zd}$, of which the binary contact path process is an example. For $d ge 3$ 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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