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Mixing time and local exponential ergodicity of the East-like process in $\mathbf Z^d$

Abstract:

The East process, a well known reversible linear chain of spins, represents the prototype of a general class of interacting particle systems with constraints modeling the dynamics of real glasses. In this paper we consider a generalization of the East process living in the d-dimensional lattice and we establish new progresses on the out- of-equilibrium behavior. In particular we prove a form of (local) exponential ergodicity when the initial distribution is far from the stationary one and we ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.5802/afst.1461

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Department:
Oxford, MPLS, Statistics
Role:
Author
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Funding agency for:
Chleboun, P
Publisher:
Institut de Mathématiques de Toulouse Publisher's website
Journal:
Annales de la Faculté des sciences de Toulouse : Mathématiques Journal website
Volume:
24
Issue:
4
Pages:
717-743
Publication date:
2015-01-05
DOI:
Pubs id:
pubs:680484
URN:
uri:972f0dfc-1de4-447b-b454-7f144a5745d2
UUID:
uuid:972f0dfc-1de4-447b-b454-7f144a5745d2
Local pid:
pubs:680484

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