Abstract
We study the decay rate of large deviation probabilities of occupation times,
up to time $t$, for the voter model $\eta\colon\Z^2\times0,ınfty)\ra\0,1\$
with simple random walk transition kernel, starting from a Bernoulli product
distribution with density $\rhoın(0,1)$. Bramson, Cox and Griffeath (1988)
showed that the decay rate order lies in $łog(t),łog^2(t)$.
In this paper, we establish the true decay rates depending on the level. We
show that the decay rates are $łog^2(t)$ when the deviation from $\rho$ is
maximal (i.e., $\eta0$ or 1), and $łog(t)$ in all other situations.
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