# Fine properties of L^p-cocycles for the abundance of simpleand trivial Lyapunov spectrum

## Speaker:

## Date:

## Venue:

We will discuss the Lp-abundance of trivial and simple Lyapunov spectrum for a wide class of cocycles,

either for discrete time case as for linear differential system. In particular, we give fine properties for

the L^p-denseness of simple spectrum and L^p-residuality of one-point spectrum.