Speaker: Dejun Feng 


 Title: Lyapunov exponents for products of matrices and multifractal
analysis.


   Abstract: Let $M$ be a continuous function defined on
   a full (or subshift) shift space taking values in the set of
   $d\time d$ non-negative  matrices.  We extend the classical
thermodynamic formalism to such a matrix-function.
   By the way we set up a multifractal formalism for the upper Lyapunov
exponents associated with  $M$.
   An application is given to the multifractal analysis of self-similar
measures generated
   by iterated function systems with overlaps.