Results 51 to 60 of about 119 (107)
Coboundary expansion and Gromov hyperbolicity
Groups, Geometry, and DynamicsWe prove that if a compact n -manifold admits a sequence of residual covers that form a coboundary expander in dimension n-2 , then the manifold has Gromov ...
Kielak, Dawid, Nowak, Piotr W.
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Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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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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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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Gromov hyperbolicity of planar graphs
Open Mathematics, 2013 Cantón Alicia +3 more
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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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Functional Geometry of Human Connectomes. [PDF]
Sci Rep, 2019 Tadić B, Andjelković M, Melnik R.
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