Geodesic
Thickness measures for Cantor sets
Astels, S.1
1 Department of Pure Mathematics, The University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 108-111.

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

For a fixed $k\ge 1$ let $C_1,\dots ,C_k$ be generalized Cantor sets. We examine various criteria under which $C_1+\dots + C_k$ contains an interval. When these criteria do not hold, we give a lower bound for the Hausdorff dimension of $C_1+\dots +C_k$. Our work will involve the development of two different types of thickness measures.
DOI : 10.1090/S1079-6762-99-00068-2

Astels, S. 1

1 Department of Pure Mathematics, The University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 
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Astels, S. Thickness measures for Cantor sets. Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 108-111. doi : 10.1090/S1079-6762-99-00068-2. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-99-00068-2/

[1] Cusick, Thomas W., Flahive, Mary E. The Markoff and Lagrange spectra 1989

[2] Newhouse, Sheldon E. The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms Inst. Hautes Études Sci. Publ. Math. 1979 101 151

[3] Palis, Jacob, Takens, Floris Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations 1993

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