Results 61 to 70 of about 435 (132)
Gromov hyperbolicity of minor graphs
, 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 $[x_1x_2]$, $[x_2x_3]$ and $[x_3x_1]$ 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 every geodesic triangle
Carballosa, Walter +3 more
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Subelliptic estimates from Gromov hyperbolicity
Advances in Mathematics, 2022 73 pages.
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Properties of sets of isometries of Gromov hyperbolic spaces [PDF]
Groups, Geometry, and Dynamics, 2018 We prove an inequality concerning isometries of a Gromov hyperbolic metric space, which does not require the space to be proper or geodesic. It involves the joint stable length, a hyperbolic version of the joint spectral radius, and shows that sets of isometries behave like sets of 2 \times 2
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Non-amenability and visual Gromov hyperbolic spaces [PDF]
Groups, Geometry, and Dynamics, 2017 We prove that a uniformly coarsely proper hyperbolic cone over a bounded metric space consisting of a finite union of uniformly coarsely connected components each containing at least two points is non-amenable and apply this to visual Gromov hyperbolic spaces.
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Bounds on Gromov hyperbolicity constant in graphs
Proceedings - Mathematical Sciences, 2012 If X is a geodesic metric space and x1,x2,x3 ∈ X, a geodesic triangleT = {x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of two other sides, for every geodesic triangle T in X.
José M. Sigarreta, José M. Rodríguez
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THE ROLE OF FUNNELS AND PUNCTURES IN THE GROMOV HYPERBOLICITY OF RIEMANN SURFACES [PDF]
, 2006 Ana Portilla +2 more
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Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs [PDF]
, 2021 Álvaro Martínez-Pérez +1 more
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On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups. [PDF]
Geom Dedic, 2021 Fässler K, Le Donne E.
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Sharp estimates of the Kobayashi metric and Gromov hyperbolicity
Journal of Mathematical Analysis and Applications, 2008 Let D be a smooth relatively compact and strictly J-pseudoconvex domain in a four dimensional almost complex manifold (M,J). We give sharp estimates of the Kobayashi metric. Our approach is based on an asymptotic quantitative description of both the domain D and the almost complex structure J near a boundary point.
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