Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices

Abstract

We prove Central Limit Theorem for non-stationary random products of $SL(2,\mathbb{R})$ matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in the case of iid random matrix products.

25 pages; the moment condition in the main result is optimal