Absolutely continuous invariant measures on the sphere

with Sylvia Novo,
in: Nonlinear Analysis and Applications, 799-806,
ed: R. Agarwal, Kluwer Academic Publishers, 2003.

The paper is concerned with the dynamical behavior of the solutions of random
linear systems. Conditions which are sufficient for the presence of absolutely
continuous dynamics on the spherical flow are analyzed and methods of
construction of invariant measures are provided.