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research article
Large deviations for voter model occupation times in two dimensions
We study the decay rate of large deviation probabilities of occupation times, up to time t, for the voter model eta : Z(2) x [0, infinity) -> {0, 1} with simple random walk transition kernel, starting from a Bernoulli product distribution with density rho is an element of (0, 1). In [Probab. Theory Related Fields 77 (1988) 401-413], Bramson, Cox and Griffeath showed that the decay rate order lies in [log(t), log(2)(t)].
Type
research article
Web of Science ID
WOS:000283527400011
Authors
Publication date
2009
Volume
45
Start page
577
End page
588
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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