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Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces
, 2013 Lior Fishman +2 more
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Teichmüller’s problem for Gromov hyperbolic domains
Israel Journal of Mathematics, 2022Teichmüller's problem concerns finding a lower bound for the maximal dilation of the class of quasiconformal self-maps of a domain \(D\), with identity boundary values, moving a point \(x\) in the domain to a given point. In the paper under review the authors investigate Teichmüller's problem for domains in \(\mathbb{R}^n\) with uniformly perfect ...
Zhou, Qingshan, Rasila, Antti
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Gromov Hyperbolicity of Periodic Graphs
Bulletin of the Malaysian Mathematical Sciences Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cantón, Alicia +3 more
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Pseudoconvexity and Gromov hyperbolicity
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999The authors give an estimate for the distance functions related to the Bergman, Carathéodory and Kobayashi metrics on a bounded strictly pseudoconvex domain with \(C^{2}\)-smooth boundary. This estimate relates the distance function on the domain with the Carnot-Carathéodory metric on the boundary.
Balogh, Zoltan M., Bonk, Mario
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Scaled Gromov hyperbolic graphs
Journal of Graph Theory, 2007AbstractIn this article, the δ‐hyperbolic concept, originally developed for infinite graphs, is adapted to very large but finite graphs. Such graphs can indeed exhibit properties typical of negatively curved spaces, yet the traditional δ‐hyperbolic concept, which requires existence of an upper bound on the fatness δ of the geodesic triangles, is unable
Edmond Jonckheere +2 more
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THE HILBERT METRIC AND GROMOV HYPERBOLICITY
2002Given a convex domain \(D\) in the Euclidean space, for any pair of points \(x\) and \(y\) in \(D\) let us denote by \(x^\prime\) and \(y^\prime\) the intersections of the line through \(x\) and \(y\) with the boundary of \(D\) closest to \(x\) and \(y\). The logarithm of the crossratio of these four points defines the Hilbert metric on \(D\): \(h(x,y)
Karlsson, Anders, Noskov, Guennadi A.
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Twists and Gromov hyperbolicity of riemann surfaces
Acta Mathematica Sinica, English Series, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matsuzaki, Katsuhiko +1 more
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Upper bound on scaled Gromov-hyperbolic δ
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jonckheere, E. A. +2 more
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Gromov hyperbolicity in the free quasiworld. II
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticaszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingshan Zhou +2 more
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