Geodesic
Dimension product structure of hyperbolic sets
Hasselblatt, Boris1 ; Schmeling, Jörg2
1 Department of Mathematics, Tufts University, Medford, MA 02155
2 Lund Institute of Technology, Lunds Universitet, Box 118, SE-22100 Lund, Sweden
Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 88-96.

Voir la notice de l'article provenant de la source American Mathematical Society

We conjecture that the fractal dimension of hyperbolic sets can be computed by adding those of their stable and unstable slices. This would facilitate substantial progress in the calculation or estimation of these dimensions, which are related in deep ways to dynamical properties. We prove the conjecture in a model case of Smale solenoids.
DOI : 10.1090/S1079-6762-04-00133-7

Hasselblatt, Boris 1 ; Schmeling, Jörg 2

1 Department of Mathematics, Tufts University, Medford, MA 02155
2 Lund Institute of Technology, Lunds Universitet, Box 118, SE-22100 Lund, Sweden 
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Hasselblatt, Boris; Schmeling, Jörg. Dimension product structure of hyperbolic sets. Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 88-96. doi : 10.1090/S1079-6762-04-00133-7. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-04-00133-7/

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