Fernando Jose Sanchez-Salas
Higher dimensional versions of the Folklore Theorem, II.
(611K, dvi, ps)

ABSTRACT.   We prove in this issue that a hyperbolic $C^2$ horseshoe with 
infinitely many branches satisfying certain bounded distortion 
condition supports an ergodic Sinai-Ruelle-Bowen measure if and 
only if its unstable Cantor sets have positive measure. This 
extends to generalized hyperbolic sets of saddle type similar 
results obtained previously for expanding Markov transformations 
with infinitely many expanding branches.