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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1535-1562
Número de páginas	28
Publicación	Stochastic Processes and their Applications
Volumen	120
N.º	8
DOI	https://doi.org/10.1016/j.spa.2010.03.018
Estado	Publicada - 2010
Publicado de forma externa	Sí

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title = "Equilibrium fluctuations for exclusion processes with conductances in random environments",

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",

doi = "10.1016/j.spa.2010.03.018",

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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 - 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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