Anders Karlsson: New subadditive and multiplicative ergodic theorems

In the 1960s the question was raised whether there exists a limit law,
similar to the law of large numbers, for random variables taking
values in an arbitrary group.  Such noncommuting random products, or
random walks, appear in several contexts within mathematics as well as
in other sciences. Oseledets proved such a theorem for the important
case of matrices, but there are many other settings of interest
(bounded linear operators, holomorphic maps, surface homeomorphisms,
or just elements in a general abstract group). I will discuss one
answer to this general question using metric spaces, their
functionals, and subadditive ergodic theory. Based on a recent joint
work with S. Gouëzel.