Quenched invariance principle for random walks on Delaunay triangulations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quenched 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 کامل

The 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 کامل

Quenched 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 کامل

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 کامل

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 کامل

ذخیره 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: Electronic Journal of Probability

سال: 2015

ISSN: 1083-6489

DOI: 10.1214/ejp.v20-4006