Methods and Applications of Analysis

Volume 9 (2002)

Number 3

Turbulence Without Pressure: Existence of the Invariant Measure

Pages: 463 – 468

DOI: https://dx.doi.org/10.4310/MAA.2002.v9.n3.a10

Author

Henry P. McKean

Abstract

In this work we prove the equivalence between static and dynamic points of views for certain ballistic random walks in random environment on Z^d, when d greater than or equal to 4 and the disorder is low. Our techniques also enable us to derive in the same setting a functional central limit theorem for almost every realization of the environment. We also provide an example where the equivalence between static and dynamic points of views breaks down.

Published 1 January 2002