Abstract
We prove quenched large deviation principles governing the position of the random walk on a supercritical site percolation on the integer lattice. A feature of this model is non-ellipticity of transition probabilities. Our analysis is based on the consideration of so-called Lyapunov exponents for the Laplace transform of the first passage time. The rate function is given by the Legendre transform of the Lyapunov exponents.
Citation
Naoki Kubota. "Large deviations for simple random walk on supercritical percolation clusters." Kodai Math. J. 35 (3) 560 - 575, October 2012. https://doi.org/10.2996/kmj/1352985454
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