Quenched invariance principle for simple random walk on percolation clusters
نویسندگان
چکیده
منابع مشابه
Quenched invariance principle for simple random walk on percolation clusters
We consider the simple random walk on the (unique) infinite cluster of supercritical bond percolation in Z with d ≥ 2. We prove that, for almost every percolation configuration, the path distribution of the walk converges weakly to that of non-degenerate, isotropic Brownian motion. Our analysis is based on the consideration of a harmonic deformation of the infinite cluster on which the random w...
متن کاملQuenched Invariance Principle for Simple Random Walk on Percolation Clusters
We consider the simple random walk on the (unique) infinite cluster of super-critical percolation in Z with d ≥ 2. We prove that, for almost every percolation configuration, the path distribution of the walk converges weakly to that of non-degenerate Brownian motion.
متن کاملQuenched Invariance Principle for Simple Random Walk on Two-dimensional Percolation Clusters
We consider the simple random walk on a two-dimensional super-critical infinite percolation cluster. We prove that, for almost every percolation configuration, the path distribution of the walk converges weakly to a non-degenerate Brownian motion.
متن کاملQuenched invariance principles for random walks on percolation clusters
We prove the almost sure (’quenched’) invariance principle for a random walker on an infinite percolation cluster in Z, d ≥ 2.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2006
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-006-0498-z