Chernov N.
STATISTICAL PROPERTIES OF PIECEWISE SMOOTH HYPERBOLIC SYSTEMS IN HIGH DIMENSIONS
(96K, LATeX)

ABSTRACT.  We study smooth hyperbolic systems with singularities 
and their SRB measures. Here we assume uniform hyperbolicity, aside 
from singularities, and the existence of one-sided derivatives 
on singularities. We prove that the SRB measures exist, 
are finitely many, and mixing SRB measures enjoy exponential 
decay of correlations and a central limit theorem. These 
properties have been proved previously only for 2-D 
systems.