TY - JOUR
T1 - Equilibrium fluctuations for exclusion processes with conductances in random environments
AU - Farfan, Jonathan
AU - Simas, Alexandre B.
AU - Valentim, Fábio J.
PY - 2010
Y1 - 2010
N2 - Fix a function W : Rd → R such that W(x1, . . . , xd) = Σdk=1 Wk (x k), where d ≥ 1, and each function Wk : R → R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W, in random environments, when the system starts from an equilibrium measure. The asymptotic behavior of the empirical distribution is governed by the unique solution of a stochastic differential equation taking values in a certain nuclear Fréchet space.
AB - Fix a function W : Rd → R such that W(x1, . . . , xd) = Σdk=1 Wk (x k), where d ≥ 1, and each function Wk : R → R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W, in random environments, when the system starts from an equilibrium measure. The asymptotic behavior of the empirical distribution is governed by the unique solution of a stochastic differential equation taking values in a certain nuclear Fréchet space.
KW - Equilibrium fluctuations
KW - Exclusion processes
KW - Homogenization
KW - Nuclear spaces
UR - http://www.scopus.com/inward/record.url?scp=79956160767&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2010.03.018
DO - 10.1016/j.spa.2010.03.018
M3 - Article
AN - SCOPUS:79956160767
SN - 0304-4149
VL - 120
SP - 1535
EP - 1562
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
IS - 8
ER -