The method of averaging and walks in inhomogeneous environments 论文

摘要

CONTENTS Introduction Chapter I. General properties of walks on an inhomogeneous lattice § 1. The invariant measure and the law of large numbers § 2. The Lindeberg-Brown theorem and its corollaries § 3. Time dependence. The weak central limit theorem § 4. Ergodic theorems for fields with stationary increments. Lp(Ω)-estimates Chapter II. The central limit theorem for specific types of walks § 1. Reflective symmetry § 2. Symmetric walks § 3. Two-fold stochastic walks § 4. Symmetrizable walks § 5. Walks on manifolds § 6. Further results. Unsolved problems References