- 94-278 Ch. Bonatti, L. J. Diaz, M. Viana
- Discontinuity of the Hausdorff dimension of hyperbolic sets
Sep 2, 94
(auto. generated ps),
of related papers
Abstract. We prove that the Hausdorff dimension of a hyperbolic
basic set may vary discontinuously with the dynamics
if the dimension of the ambient manifold is bigger than
two. This loss of continuity is associated to the
occurrence of intersections between the stable (resp.
unstable) manifold and the strong unstable (resp. strong
stable) manifold of some periodic point.