- 99-383 Fernando Jose Sanchez-Salas
- Higher dimensional versions of the Folklore Theorem, II.
(611K, dvi, ps)
Oct 13, 99
(auto. generated ps),
of related papers
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.