Preprint A169/2002
$L^p$-generic cocycles have one-point Lyapunov spectrum

Jairo Bochi | Arbieto, Alexander

**Keywords: **
Lyapunov Exponents | linear cocyles

We show the sum of the first $k$ Lyapunov exponents of linear
cocycles is an upper semicontinuous function
in the $L^p$ topologies, for any $1 \le p \le \infty$ and $k$.
This fact, together with a result from Arnold and Cong, implies
that the Lyapunov exponents of the $L^p$-generic cocycle,
$p<\infty$, are all equal.