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Mixing time bounds for oriented kinetically constrained spin models

Abstract:

We analyze the mixing time of a class of oriented kinetically constrained spin models (KCMs) on a d-dimensional lattice of $n^d$ sites. A typical example is the North-East model, a 0-1 spin system on the two-dimensional integer lattice that evolves according to the following rule: whenever a site's southerly and westerly nearest neighbours have spin 0, with rate one it resets its own spin by tossing a p-coin, at all other times its spin remains frozen. Such models are very popular in statisti...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1214/ECP.v18-2516

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Department:
Oxford, MPLS, Statistics
Martinelli, F More by this author
Publisher:
Institute of Mathematical Statistics Publisher's website
Journal:
Electronic Communications in Probability Journal website
Volume:
18
Pages:
60
Publication date:
2016-06-05
Acceptance date:
2013-07-12
DOI:
EISSN:
1083-589X
Pubs id:
pubs:680474
URN:
uri:0cd57159-9d63-494b-89d3-537e9d41f48f
UUID:
uuid:0cd57159-9d63-494b-89d3-537e9d41f48f
Local pid:
pubs:680474

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