Quenched Invariance Principles for Random Walks with Random Conductances
نویسندگان
چکیده
منابع مشابه
Quenched invariance principles for random walks with random conductances
We prove an almost sure invariance principle for a random walker among i.i.d. conductances in Zd, d ≥ 2. We assume conductances are bounded from above but we do not require that they are bounded from below.
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 کاملQuenched invariance principle for random walks in balanced random environment
We consider random walks in a balanced random environment in Z , d ≥ 2. We first prove an invariance principle (for d ≥ 2) and the transience of the random walks when d ≥ 3 (recurrence when d = 2) in an ergodic environment which is not uniformly elliptic but satisfies certain moment condition. Then, using percolation arguments, we show that under mere ellipticity, the above results hold for ran...
متن کاملQuenched Invariance Principles for the Random Conductance Model on a Random Graph with Degenerate Ergodic Weights
We consider a stationary and ergodic random field {ω(e) : e ∈ Ed} that is parameterized by the edge set of the Euclidean lattice Z, d ≥ 2. The random variable ω(e), taking values in [0,∞) and satisfying certain moment bounds, is thought of as the conductance of the edge e. Assuming that the set of edges with positive conductances give rise to a unique infinite cluster C∞(ω), we prove a quenched...
متن کاملThe quenched invariance principle for random walks in random environments admitting a bounded cycle representation
We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman (Probab. Theory Related Fields 129 (2004) 219– 244) to the non-reversible setting. Résumé. Nous dérivons un principe d’in...
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: Journal of Statistical Physics
سال: 2007
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-007-9465-z