Results 11 to 20 of about 415 (151)
Central Limit Theorems for Gromov Hyperbolic Groups [PDF]
Journal of Theoretical Probability, 2009 Accepted in Journal of Theoretical ...
Michael Björklund
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Gromov hyperbolicity in lexicographic product graphs [PDF]
Proceedings - Mathematical Sciences, 2018 arXiv admin note: text overlap with arXiv:1410 ...
Walter Carballosa +2 more
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Knot graphs and Gromov hyperbolicity [PDF]
Mathematische Zeitschrift, 2022 We define a broad class of graphs that generalize the Gordian graph of knots. These knot graphs take into account unknotting operations, the concordance relation, and equivalence relations generated by knot invariants. We prove that overwhelmingly, the knot graphs are not Gromov hyperbolic, with the exception of a particular family of quotient knot ...
Stanislav Jabuka +2 more
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Gromov Hyperbolicity in Directed Graphs [PDF]
Symmetry, 2020 In this paper, we generalize the classical definition of Gromov hyperbolicity to the context of directed graphs and we extend one of the main results of the theory: the equivalence of the Gromov hyperbolicity and the geodesic stability. This theorem has potential applications to the development of solutions for secure data transfer on the internet.
Ana Portilla +3 more
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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 ...
Hernández, Verónica +2 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 $K$.
Kong, Shilei +2 more
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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 ...
Alvarez, Venancio +3 more
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Gromov Hyperbolicity of Riemann Surfaces [PDF]
Acta Mathematica Sinica, English Series, 2006 20 pages, no figures.-- MSC2000 codes: 30F, 30F20, 30F45. MR#: MR2286916 (2007k:30080) Zbl#: Zbl 1115.30050 In this paper we study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its "building block components".
Rodríguez, José M., Tourís, Eva
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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 \
Bonk, M., Schramm, O.
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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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