Results 21 to 30 of about 193,577 (332)
Potential Theory on Gromov Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2022 Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov ...
Kemper Matthias, Lohkamp Joachim
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Sur l'hyperbolicit\'e de graphes associ\'es au groupe de Cremona [PDF]
Épijournal de Géométrie Algébrique, 2019 To reinforce the analogy between the mapping class group and the Cremona group of rank $2$ over an algebraic closed field, we look for a graph analoguous to the curve graph and such that the Cremona group acts on it non-trivially.
Anne Lonjou
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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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КОНЕЧНО ПОРОЖДЕННЫЕ ПОДГРУППЫ ГИПЕРБОЛИЧЕСКИХ ГРУПП
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2014 Устанавливается, что конечно порожденные подгруппы бесконечного индекса в гиперболических группах, не являющихся почти абелевыми, дополняемы нетри- виальным свободным множителем.
А.П. Горюшкин, A.P. Goryushkin
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, 2021 The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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Construction of Polygonal Color Codes from Hyperbolic Tesselations
Trends in Computational and Applied Mathematics, 2020 This current work propose a technique to generate polygonal color codes in the hyperbolic geometry environment. The color codes were introduced by Bombin and Martin-Delgado in 2007, and the called triangular color codes have a higher degree of interest ...
Waldir S. Soares Jr +3 more
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Group Classification and Conservation Laws of a Class of Hyperbolic Equations
Abstract and Applied Analysis, 2021 s. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation ...
J. C. Ndogmo
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A hyperbolic-by-hyperbolic hyperbolic group [PDF]
Proceedings of the American Mathematical Society, 1997 Given a short exact sequence of finitely generated groups \(1\to K\to G\to H\to 1\), the author has shown [in J. Pure Appl. Algebra 110, No. 3, 305-314 (1996; Zbl 0851.20037)] that if \(K\) and \(G\) are word hyperbolic and if \(K\) is nonelementary (that is, not virtually cyclic), then \(H\) is word hyperbolic. The interesting original example of this
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CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
Forum of Mathematics, Sigma, 2013 We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.
O. BAKER, T. R. RILEY
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Statistical hyperbolicity in groups [PDF]
Algebraic & Geometric Topology, 2012 In this paper, we introduce a geometric statistic called the "sprawl" of a group with respect to a generating set, based on the average distance in the word metric between pairs of words of equal length. The sprawl quantifies a certain obstruction to hyperbolicity.
Duchin, Moon +2 more
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