## Averaging method and random walks in inhomogeneous environment.(Russian)Zbl 0592.60054

The paper deals with the asymptotic behavior of a Markov chain on a $$d$$-dimensional lattice with random transition probabilities when the number of steps is large. A central limit theorem is established for many important classes of random walks. The method of averaging developed recently in the theory of partial differential equations is applied. This method yields effective criteria for a central limit theorem in a random nonhomogeneous environment.
Reviewer: L.Kalyakin

### MSC:

 60G50 Sums of independent random variables; random walks 60F05 Central limit and other weak theorems