Dimension product structure of hyperbolic sets.
Hasselblatt, Boris, Schmeling, Jorg (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Hasselblatt, Boris, Schmeling, Jorg (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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J. Kisyński (1970)
Colloquium Mathematicae
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Tomas Persson (2010)
Fundamenta Mathematicae
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We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
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Douglas Dunham (1999)
Visual Mathematics
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Jeffrey Brock, Kenneth Bromberg, Richard Evans, Juan Souto (2003)
Publications Mathématiques de l'IHÉS
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Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifold, or , if one of the following conditions holds: 1. N has non-empty conformal boundary, 2. N is not homotopy equivalent to a compression body, or 3. N is a strong limit of geometrically finite manifolds. The first case proves Ahlfors’ measure conjecture for kleinian groups in the closure of the geometrically...
Joan Porti (2013)
Annales de l’institut Fourier
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We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regenerations of the polygon, provided that the perimeter is minimal.
Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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