A first-order canonical set of generalized Jacobi-type variables for hyperbolic orbital motion.
Luis Floría (1994)
Extracta Mathematicae
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Luis Floría (1994)
Extracta Mathematicae
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J. Kisyński (1970)
Colloquium Mathematicae
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Markus Stroppel (1997)
Monatshefte für Mathematik
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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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Douglas Dunham (1999)
Visual Mathematics
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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H. Matsumoto (2010)
Colloquium Mathematicae
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Using explicit representations of the Brownian motions on hyperbolic spaces, we show that their almost sure convergence and the central limit theorems for the radial components as time tends to infinity can be easily obtained. We also give a straightforward strategy to obtain explicit expressions for the limit distributions or Poisson kernels.
R. Krasnodębski (1970)
Colloquium Mathematicae
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Oğuzhan Demirel (2009)
Commentationes Mathematicae Universitatis Carolinae
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In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry. This Ungar's work plays a major role in translating some theorems from Euclidean geometry to corresponding theorems in hyperbolic geometry. In this paper we explore the theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry.
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.
Stefano Marmi (1998-1999)
Séminaire Bourbaki
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