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A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
, 2009 Ana Portilla, Eva Tourı́s
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Groups admitting Wirtinger presentations and Gromov hyperbolic groups [PDF]
Toshiyuki Akita
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Applying clique-decomposition for computing Gromov hyperbolicity
, 2017 Nathann Cohen +3 more
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Properties of sets of isometries of Gromov hyperbolic spaces [PDF]
, 2016 Eduardo Oregón‐Reyes
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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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