Results 41 to 50 of about 189,122 (232)
Inverse Numerical Range and Determinantal Quartic Curves
Mathematics, 2020 A hyperbolic ternary form, according to the Helton–Vinnikov theorem, admits a determinantal representation of a linear symmetric matrix pencil. A kernel vector function of the linear symmetric matrix pencil is a solution to the inverse numerical range ...
Mao-Ting Chien, Hiroshi Nakazato
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Dehn filling in relatively hyperbolic groups [PDF]
, 2007 We introduce a number of new tools for the study of relatively hyperbolic groups. First, given a relatively hyperbolic group G, we construct a nice combinatorial Gromov hyperbolic model space acted on properly by G, which reflects the relative ...
Groves, Daniel, Manning, Jason Fox
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Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups
Abstract and Applied Analysis, 2014 We obtain an analogue of Jørgensen's inequality in quaternionic hyperbolic space. As an application, we prove that if the r-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group.
Huani Qin, Yueping Jiang, Wensheng Cao
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Engulfing in word-hyperbolic groups [PDF]
Algebraic & Geometric Topology, 2002 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-31.abs ...
Niblo, G.A., Williams, B.T.
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RELATIVELY HYPERBOLIC GROUPS [PDF]
International Journal of Algebra and Computation, 2012 In this paper we develop some of the foundations of the theory of relatively hyperbolic groups as originally formulated by Gromov. We prove the equivalence of two definitions of this notion. One is essentially that of a group admitting a properly discontinuous geometrically finite action on a proper hyperbolic space, that is, such that every limit ...
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COMPUTATION IN WORD-HYPERBOLIC GROUPS [PDF]
International Journal of Algebra and Computation, 2001 We describe two practical algorithms for computing with word-hyperbolic groups, both of which we have implemented. The first is a method for estimating the maximum width, if it exists, of geodesic bigons in the Cayley graph of a finitely presented group G.
Derek F. Holt, David Epstein
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, 2015 We propose the metric notion of strong hyperbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, strongly hyperbolic spaces are Gromov hyperbolic spaces that are metrically well-behaved at infinity, and, under weak
Nica, Bogdan, Spakula, Jan
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Miniaturized Backward Coupler Realized by the Circuit‐Based Planar Hyperbolic Waveguide
Advanced Photonics Research, 2021 Planar waveguides limit the transmission of electromagnetic waves in a specific direction and have a wide range of applications in filters, sensors, and energy‐transfer devices.
Zhiwei Guo +3 more
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Acylindrical group actions on quasi-trees
, 2016 A group G is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that every acylindrically hyperbolic group G has a generating set X such that the corresponding Cayley graph is a (non-elementary ...
Balasubramanya, Sahana
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Stability for hyperbolic groups acting on boundary spheres
Forum of Mathematics, Sigma, 2023 A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary ...
Kathryn Mann, Jason Fox Manning
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