Truncated correlations in the stirring process with births and deaths

被引：17

作者：

De Masi, Anna ^{[1
]}

Presutti, Errico ^{[2
]}

Tsagkarogiannis, Dimitrios ^{[2
]}

Vares, Maria E. ^{[3
,4
]}

机构：

[1] Univ Aquila, I-67100 Laquila, Italy

[2] Univ Roma, Rome, Italy

[3] CBPF, Rio De Janeiro, Brazil

[4] Univ Fed Rio de Janeiro, Rio de Janeiro, Brazil

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2012年 / 17卷

关键词：

stirring process; v-functions; truncated correlations; hydrodynamic limits; nonlinear boundary processes; EXCLUSION; SYSTEM;

D O I：

10.1214/EJP.v17-1734

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the stirring process in the interval Lambda(N) : = [-N; N] of Z with births and deaths taking place in the intervals I+ : = ( N K; N], and respectively I- : = [-N; -N + K), 1 <= K < N. We prove bounds on the truncated moments uniform in N which yield strong factorization properties.

引用

页码：1 / 35

页数：35

共 16 条

[1] A CORRELATION-INEQUALITY FOR THE SYMMETRIC EXCLUSION PROCESS
ANDJEL, ED
[J]. ANNALS OF PROBABILITY, 1988, 16 (02) : 717 - 721
[2] [Anonymous], 2010, Random Walk: A Modern Introduction
[3] [Anonymous], 1999, STOCHASTIC INTERACTI
[4] Non equilibrium current fluctuations in stochastic lattice gases
Bertini, L
De Sole, A
Gabrielli, D
Jona-Lasinio, G
Landim, C
[J]. JOURNAL OF STATISTICAL PHYSICS, 2006, 123 (02) : 237 - 276
[5] Current large deviations for asymmetric exclusion processes with open boundaries
Bodineau, T
Derrida, B
[J]. JOURNAL OF STATISTICAL PHYSICS, 2006, 123 (02) : 277 - 300
[6] A Diffusive System Driven by a Battery or by a Smoothly Varying Field
Bodineau, T.
Derrida, B.
Lebowitz, J. L.
[J]. JOURNAL OF STATISTICAL PHYSICS, 2010, 140 (04) : 648 - 675
[7] Brassesco S., 2000, Markov Process Relat. Fields, V6, P181
[8] Current Reservoirs in the Simple Exclusion Process
De Masi, A.
Presutti, E.
Tsagkarogiannis, D.
Vares, M. E.
[J]. JOURNAL OF STATISTICAL PHYSICS, 2011, 144 (06) : 1151 - 1170
[9] DEMASI A, 1989, ANN I H POINCARE-PR, V25, P1
[10] DEMASI A, 1991, LECT NOTES MATH, V1501, P1

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