Results 71 to 80 of about 17,964 (136)
Detours and Gromov hyperbolicity
, 2008 The notion of Gromov hyperbolicity was introduced by Gromov in the setting of geometric group theory [G1], [G2], but has played an increasing role in analysis on general metric spaces [BHK], [BS], [BBo], [BBu], and extendability of Lipschitz mappings [L].
Buckley, Stephen M. +1 more
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Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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Stability of Gromov hyperbolicity
, 2010 A main problem when studying any mathematical property is to determine its stability, i.e., under what type of perturbations it is preserved. With this aim, here we study the stability of Gromov hyperbolicity, a property which has been proved to be fruitful in many fields.
Portilla, Ana +2 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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Uniform hyperbolicity of the curve graph via surgery sequences [PDF]
, 2013 We prove that the curve graph $ \calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface $ S$ . The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by
Clay, M., Schleimer, S., Rafi, K.
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Gromov hyperbolicity of intrinsic metrics from isoperimetric inequalities
In this paper we investigate the Gromov hyperbolicity of the classical Kobayashi and Hilbert metrics, and the recently introduced minimal metric. Using the linear isoperimetric inequality characterization of Gromov hyperbolicity, we show if these metrics
Wang, Tianqi, Zimmer, Andrew
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Lack of Gromov-hyperbolicity in small-world networks
Open Mathematics, 2012 Shang Yilun
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The topology of higher-order complexes associated with brain hubs in human connectomes. [PDF]
Sci Rep, 2020 Andjelković M, Tadić B, Melnik R.
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Gromov hyperbolic in directed graphs
, 2022 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.
Portilla, Ana +3 more
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Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains
, 2017 We deliver examples of non-Gromov hyperbolic tube domains with convex bases (equipped with the Kobayashi distance). This is shown by providing a criterion on non-Gromov hyperbolicity of (non-smooth) domains. The results show the similarity of geometry of
Włodzimierz Zwonek +3 more
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