Results 21 to 30 of about 462 (153)
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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Gromov hyperbolicity in the free quasiworld. I
Studia Mathematica, 2022 With the aid of a Gromov hyperbolic characterization of uniform domains, we first give an affirmative answer to an open question arisen by V is l under weaker assumption. Next, we show that the three-point condition introduced by V is l is necessary to obtain quasisymmetry for quasim bius maps between bounded connected spaces in a quantitative
Qingshan Zhou, Saminathan Ponnusamy
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Gromov hyperbolicity of Denjoy Domains [PDF]
Geometriae Dedicata, 2006 In this paper we characterize the Gromov hyperbolicity of the double of a metric space. This result allows to give a characterization of the hyperbolic Denjoy domains, in terms of the distance to $\Bbb{R}$ of the points in some geodesics. In the particular case of trains (a kind of Riemann surfaces which includes the flute surfaces), we obtain more ...
Ana Portilla +3 more
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Embeddings of Gromov Hyperbolic Spaces [PDF]
Geometric And Functional Analysis, 2000 To state the main result of the paper we start with two definitions: A metric space \(X\) has ``bounded growth at some scale'' if there are constants \(R>r>0\) and a positive integer \(N\) such that every open ball of radius \(R\) in \(X\) can be covered by \(N\) open balls of radius \(r\). A metric space \(X\) is ``roughly similar'' to a metric space \
Oded Schramm, Mario Bonk
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Gromov Hyperbolicity of Riemann Surfaces [PDF]
Acta Mathematica Sinica, English Series, 2006 The first author’s research is partially supported by a grant from DGI (BFM 2003-04870), Spain. The second author’s research is partially supported by a grant from DGI (BFM 2000-0022), Spain.
Eva Tourís, José M. Rodríguez
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Gromov Hyperbolicity in Mycielskian Graphs [PDF]
Symmetry, 2017 Since the characterization of Gromov hyperbolic graphs seems a too ambitious task, there are many papers studying the hyperbolicity of several classes of graphs. In this paper, it is proven that every Mycielskian graph G M is hyperbolic and that δ ( G M ) is comparable to diam ( G M ) .
Ana Granados +3 more
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On the Gromov hyperbolicity of the minimal metric
Mathematische ZeitschriftAbstractIn this paper, we study the hyperbolicity in the sense of Gromov of domains in $$\mathbb {R}^d$$ R d $$(d\ge 3)$$ ( d ≥
Matteo Fiacchi
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Potential Theory on Gromov Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2022 Abstract Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov hyperbolic metric measure spaces, unifying these settings in a common ...
Kemper, M. (Matthias) +1 more
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Apollonian metric, uniformity and Gromov hyperbolicity [PDF]
Complex Variables and Elliptic Equations, 2019 accept by ...
Qingshan Zhou +3 more
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Gromov hyperbolic graphs arising from iterations [PDF]
Advances in Mathematics, 2021 For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary with the Gromov metric is H lder equivalent to the attractor $K$.
Ka-Sing Lau +3 more
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