Results 31 to 40 of about 3,724 (168)
Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps [PDF]
, 2010 We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces satisfying the qi-embedded condition. This implies the same result for inclusion of
Abhijit Pal +10 more
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Uniformity from Gromov hyperbolicity
Illinois Journal of Mathematics, 2008 The authors show that, in a metric space \(X\) with annular convexity, the uniform domains are precisely those Gromov hyperbolic domains whose quasiconformal structure on the boundary agrees with that on the boundary of \(X\). As an application it is shown that quasi-Möbius maps between geodesic spaces with annular convexity preserve uniform domains ...
Herron, David +2 more
openaire +3 more sources
Gromov hyperbolicity and quasihyperbolic geodesics [PDF]
Annales scientifiques de l'École normale supérieure, 2014 17 ...
Lammi, Päivi +3 more
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Convex geodesic bicombings and hyperbolicity [PDF]
, 2014 A geodesic bicombing on a metric space selects for every pair of points a geodesic connecting them. We prove existence and uniqueness results for geodesic bicombings satisfying different convexity conditions. In combination with recent work by the second
Descombes, Dominic, Lang, Urs
core +1 more source
Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 9 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23; 30C99.-- Dedicated to Professor Andreian Cazacu on the occasion of her 80th birthday. In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the
Peter Hästö +3 more
openalex +4 more sources
Statistics and compression of scl [PDF]
, 2013 We obtain sharp estimates on the growth rate of stable commutator length on random (geodesic) words, and on random walks, in hyperbolic groups and groups acting nondegenerately on hyperbolic spaces.
Bavard +15 more
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Geometric characterizations of Gromov hyperbolicity [PDF]
Inventiones Mathematicae, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balogh, Zoltán M., Buckley, Stephen M.
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Generalized chordality, vertex separators and hyperbolicity on graphs
, 2017 Let $G$ be a graph with the usual shortest-path metric. A graph is $\delta$-hyperbolic if for every geodesic triangle $T$, any side of $T$ is contained in a $\delta$-neighborhood of the union of the other two sides.
Martínez-Pérez, Álvaro
core +1 more source
Expositiones Mathematicae, 2005 This is a mini monograph on Gromov hyperbolic spaces, which are not necessarily geodesic or proper. As the author notes, the purpose of the article is to give a fairly detailed treatment of the basic theory of hyperbolic spaces more general than proper and geodesic.
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source