Products of random transformations and Lyapunov exponents
The asymptotic behaviour of products of independent identically distributed $mtimes m$ random matrices is now relatively well understood (if $m$ is fixed!). A long standing natural problem is: what part of the corresponding theory can be extended to the case of products of non-identically distributed matrices and, more generally, transformations? Perturbation theory is a very natural example of a situation where such a question arises. In my talk, I’ll try to answer this question.