Invariant sets with zero measure and full hausdorff dimension

Electronic Research Announcements of the American Mathematical Society

Volumn 3, Issue 18, 1997, Pages 114-118

  Barreira, Luis ^a   Schmeling, Jörg ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009812392     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-97-00035-8     Document Type: Article

References (6)

1. L. Barreira, Ya. Pesin, and J. Schmeling, On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture, Electron. Res. Announc. Amer. Math. Soc. 2 (1996), no. 1, 69-72. MR 97i:58094
2. L. Barreira, Ya. Pesin, and J. Schmeling, Dimension of hyperbolic measures—a proof of the Eckmann-Ruelle conjecture, WIAS Preprint 245 and IST Preprint 26/96, 1996 (submitted for publication).
3. L. Barreira and J. Schmeling, Sets of “non-typical" points have full topological entropy and full Hausdorff dimension, IST Preprint 14/97, 1997 (submitted for publication).
4. Ya. Pesin and B. Pitskel', Topological pressure and the variational principle for noncompact sets, Functional Anal. Appl. 18 (1984), no. 4, 307-318. MR 86i:28031
5. Ya. Pesin and H. Weiss, A multifractal analysis of Gibbs measures for conformal expanding maps and Markov Moran geometric constructions, J. Statist. Phys. 86 (1997), no. 1/2, 233-275. CMP 97:08
6. J. Schmeling and S. Troubetzkoy, Pointwise dimension for regular hyperbolic measures for endomorphisms, in preparation.