Results 21 to 30 of about 435 (132)
Bounds on Gromov hyperbolicity constant [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 If $X$ is a geodesic metric space and $x_{1},x_{2},x_{3} \in X$, a geodesic triangle $T=\{x_{1},x_{2},x_{3}\}$ is the union of the three geodesics $[x_{1}x_{2}]$, $[x_{2}x_{3}]$ and $[x_{3}x_{1}]$ in $X$. The space $X$ is $ $-hyperbolic in the Gromov sense if any side of $T$ is contained in a $ $-neighborhood of the union of the two other sides, for ...
Verónica Hernández +2 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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Geometric characterizations of Gromov hyperbolicity [PDF]
Inventiones Mathematicae, 2003 We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition.
Balogh, Zoltán M., Buckley, Stephen M.
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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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Embeddings of Gromov Hyperbolic Spaces [PDF]
Geometric And Functional Analysis, 2000 It is shown that a Gromov hyperbolic geodesic metric space X with bounded growth at some scale is roughly quasi-isometric to a convex subset of hyperbolic space. If one is allowed to rescale the metric of X by some positive constant, then there is an embedding where distances are distorted by at most an additive constant.
Oded Schramm, Mario Bonk
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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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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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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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Gromov hyperbolicity in lexicographic product graphs [PDF]
Proceedings - Mathematical Sciences, 2018 arXiv admin note: text overlap with arXiv:1410 ...
Amauris de la Cruz +3 more
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