Ergodic Theory and Dynamical Systems

Table of Contents - 01 June 1992 - Volume 12, Issue 02  

Research Article

Positive Lyapunov exponents for a dense set of bounded measurable SL(2, xs211D)-cocycles

Oliver Knilla1

a1 Mathematikdepartement, ETH Zentrum, CH-8092 Zürich, Switzerland

Abstract

Let T be an aperiodic automorphism of a standard probability space (X, m). We prove, that the set

S0143385700006775_eqnU1

is dense in L∞(X, SL(2, xs211D)).

(Received August 20 1990)

(Revised February 05 1992)