Results 91 to 100 of about 189,122 (232)

Hyperbolic automorphisms of free groups [PDF]

open access: yesGeometric and Functional Analysis, 2000
We prove that an automorphism $ :F\to F$ of a finitely generated free group $F$ is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes.
openaire   +4 more sources

On boundaries of hyperbolic Coxeter groups

open access: yesTopology and its Applications, 2001
A Coxeter group \(\Gamma\) together with its presentation \(S\) is called a Coxeter system and is denoted as \((\Gamma,S)\). Every Coxeter system \((\Gamma,S)\) defines a convex geodesic space \(X={\mathcal A}(\Gamma,S)\) called the Davis-Vinberg complex [\textit{M. Davis}, Nonpositive curvature and reflection groups, in: Proc. 11-th Annual Workshop in
University of Florida, Department of Mathematics, P.O. Box 118105 Little Hall, Gainesville, FL 32611-8105, USA ( host institution )   +1 more
openaire   +3 more sources

Curved momentum spaces from quantum groups with cosmological constant

open access: yesPhysics Letters B, 2017
We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanishing cosmological constant Λ. In particular, the momentum space
Á. Ballesteros   +3 more
doaj   +1 more source

Hyperbolic graphs of surface groups [PDF]

open access: yesAlgebraic & 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.
openaire   +4 more sources

HSMGNN Hyperbolic S2 Rotation Group Multi-Channel Graph Neural Network for Cross-Lingual Entity Alignment

open access: yesIEEE Access
Entity alignment—a crucial task in knowledge graph research—is often hampered by the inherent heterogeneity between the graphs being aligned.
Yu Deng, Shiwang Hou, Mingyi Zhang
doaj   +1 more source

Analyticity of the entropy and the escape rate of random walks in hyperbolic groups

open access: yesDiscrete Analysis, 2017
Analyticity of the entropy and the escape rate of random walks in hyperbolic groups, Discrete Analysis 2017:7, 37pp. Let $\mu$ be a probability measure on an infinite finitely generated group $G$.
Sebastien Gouezel
doaj   +1 more source

A hyperbolic Kac-Moody Calogero model

open access: yesJournal of High Energy Physics
A new kind of quantum Calogero model is proposed, based on a hyperbolic Kac-Moody algebra. We formulate nonrelativistic quantum mechanics on the Minkowskian root space of the simplest rank-3 hyperbolic Lie algebra AE 3 with an inverse-square potential ...
Olaf Lechtenfeld, Don Zagier
doaj   +1 more source

Tunneling Currents in the Hyperbolic Phase Space

open access: yesEntropy
We introduce the quantum currents for quantum systems with an SU(1,1) dynamic symmetry group whose evolution is governed by a non-linear Hamiltonian possessing a continuous spectrum and apply them to the analysis of the tunneling dynamics on the ...
Ivan F. Valtierra, Andrei B. Klimov
doaj   +1 more source

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