Results 31 to 40 of about 83,569 (275)
Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
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Quasi-hyperbolic planes in relatively hyperbolic groups [PDF]
, 2018 We show that any group that is hyperbolic relative to virtually nilpotent subgroups, and does not admit peripheral splittings, contains a quasi-isometrically embedded copy of the hyperbolic plane.
Mackay, John M., Sisto, Alessandro
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Percolation on Hyperbolic Graphs [PDF]
Geometric and Functional Analysis, 2019 We prove that Bernoulli bond percolation on any nonamenable, Gromov hyperbolic, quasi-transitive graph has a phase in which there are infinitely many infinite clusters, verifying a well-known conjecture of Benjamini and Schramm (1996) under the additional assumption of hyperbolicity.
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Dynamics of hot random hyperbolic graphs [PDF]
Physical Review E, 2022 We derive the most basic dynamical properties of random hyperbolic graphs (the distributions of contact and intercontact durations) in the hot regime (network temperature $T > 1$). We show that for sufficiently large networks the contact distribution decays as a power law with exponent $2+T > 3$ for durations $t > T$, while for $t < T$ it ...
Fragkiskos Papadopoulos +1 more
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Fixed-Point Convergence of Multi-Valued Non-Expansive Mappings with Applications
Axioms, 2023 This paper is dedicated to the advancement of fixed-point results for multi-valued asymptotically non-expansive maps regarding convergence criteria in complete uniformly convex hyperbolic metric spaces that are endowed with a graph.
Akbar Azam +3 more
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Hyperbolicity vs. Amenability for Planar Graphs [PDF]
Discrete & Computational Geometry, 2017 The aim of this paper is to clarify the relationship between Gromov-hyperbolicity and amenability for planar maps.
Federici, Bruno, Georgakopoulos, Agelos
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Hyperbolic graphs of surface groups [PDF]
Algebraic & Geometric Topology, 2011 We give a sufficient condition under which the fundamental group of a reglued graph of surfaces is hyperbolic. A reglued graph of surfaces is constructed by cutting a fixed graph of surfaces along the edge surfaces, then regluing by pseudo-Anosov homeomorphisms of the edge surfaces.
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Relative quasiconvexity using fine hyperbolic graphs [PDF]
Algebraic & Geometric Topology, 2011 We provide a new and elegant approach to relative quasiconvexity for relatively hyperbolic groups in the context of Bowditch's approach to relative hyperbolicity using cocompact actions on fine hyperbolic graphs. Our approach to quasiconvexity generalizes the other definitions in the literature that apply only for countable relatively hyperbolic groups.
Martínez-Pedroza, Eduardo +1 more
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Hyperbolicity of Direct Products of Graphs [PDF]
Symmetry, 2018 It is well-known that the different products of graphs are some of the more symmetric classes of graphs. Since we are interested in hyperbolicity, it is interesting to study this property in products of graphs. Some previous works characterize the hyperbolicity of several types of product graphs (Cartesian, strong, join, corona and lexicographic ...
Walter Carballosa +3 more
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Sampling Geometric Inhomogeneous Random Graphs in Linear Time [PDF]
, 2017 Real-world networks, like social networks or the internet infrastructure, have structural properties such as large clustering coefficients that can best be described in terms of an underlying geometry.
Bringmann, Karl +2 more
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