作者：COX, JT; GREVEN, A; SHIGA, T
作者单位：University of Erlangen Nuremberg; Institute of Science Tokyo; Tokyo Institute of Technology
摘要：We study the problem of relating the long time behavior of finite and infinite systems of locally interacting components. We consider in detail a class of linearly interacting diffusions x(t) = {x(i)(t), i is an element of Z(d)}, in the regime where there is a one-parameter family of nontrivial invariant measures. For these systems there are naturally defined corresponding finite systems, x(N)(t) = {x(i)(N)(t), i is an element of Lambda(N)}, with Lambda(N) = (-N,N](d) boolean AND Z(d). Our mai...
