Equilibrium fluctuations for exclusion processes with conductances in random environments

Jonathan Farfan; Alexandre B. Simas; Fábio J. Valentim

doi:10.1016/j.spa.2010.03.018

Equilibrium fluctuations for exclusion processes with conductances in random environments

Jonathan Farfan
, Alexandre B. Simas
, Fábio J. Valentim

Instituto National de Matemática Pura e Aplicada
IMCA
Universidade Federal do Espirito Santo

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Fix a function W : R^d → R such that W(x₁, . . . , x_d) = Σ^d_k=1 W_k (x _k), where d ≥ 1, and each function W_k : 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.

Original language	English
Pages (from-to)	1535-1562
Number of pages	28
Journal	Stochastic Processes and their Applications
Volume	120
Issue number	8
DOIs	https://doi.org/10.1016/j.spa.2010.03.018
State	Published - 2010
Externally published	Yes

Keywords

Equilibrium fluctuations
Exclusion processes
Homogenization
Nuclear spaces

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10.1016/j.spa.2010.03.018

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abstract = "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 Fr{\'e}chet space.",

keywords = "Equilibrium fluctuations, Exclusion processes, Homogenization, Nuclear spaces",

author = "Jonathan Farfan and Simas, \{Alexandre B.\} and Valentim, \{F{\'a}bio J.\}",

year = "2010",

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AU - Farfan, Jonathan

AU - Simas, Alexandre B.

AU - Valentim, Fábio J.

PY - 2010

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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 - https://www.scopus.com/pages/publications/79956160767

U2 - 10.1016/j.spa.2010.03.018

DO - 10.1016/j.spa.2010.03.018

M3 - Article

AN - SCOPUS:79956160767

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VL - 120

SP - 1535

EP - 1562

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 8

ER -

Equilibrium fluctuations for exclusion processes with conductances in random environments

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Keywords

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