Results 31 to 40 of about 394,346 (266)
Quasi-hyperbolic planes in hyperbolic groups [PDF]
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
Bonk, Mario, Kleiner, Bruce
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The observation by Poincaré that Möbius transformations in the complex plane can be lifted to a half-space raises the need to be able to handle motions in hyperbolic space of more than two dimensions by means of an analytic apparatus of not too forbidding complexity.
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Homotopy hyperbolic 3-manifolds are hyperbolic [PDF]
This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This technique is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for the volume of a closed orientable hyperbolic 3-manifold.
Gabai, David +2 more
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This article investigates a type of hyperbolic equation of the fractional Kirchhoff with viscoelastic and logarithmic nonlinear terms subject to homogeneous Dirichlet-boundary: \begin{document}$ \left\{ \begin{array}{ll} u_{tt} +M([u]^{2}_{s})(-\Delta)
Lijun Zhou, Ning Pan
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Quantitative Cross-Cultural Similarities and Differences in Social Discounting for Gains and Losses
Social discounting is when resource allocation decreases as social distance increases. Studies fitting different quantitative models to social discounting data have shown that a q-exponential function based on Tsallis' statistics best fits loss data ...
Sarah E. Stegall +4 more
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The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results.
Svitlana Gadetska +3 more
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The author considers the space of relativistic velocities in the Minkowski vector space \(\mathbb{R}^{1,n}\) as the unit ball \(B^n \subset \mathbb{R}^n \) with the non-commutative non-associative invertible binary operation \(\oplus\), defined by the relativistic addition of velocities.
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On the non-robustness of intermingled basins
It is well-known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus in a similar way than in Kan's example. It has two hyperbolic physical measures with intermingled basins supported on two embedded tori with Anosov ...
Ures, Raúl, Vásquez, Carlos H.
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Obesity and Hyperbolic Discounting: An Experimental Analysis
Models of rational addiction suggest that obesity is consistent with time-consistent preferences. Behavioral economists maintain that addictions such as alcoholism, smoking and over-eating represent examples of present-bias in decision making that is ...
Timothy J. Richards, Stephen F. Hamilton
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Nanophotonics shines light on hyperbolic metamaterials
Hyperbolic metamaterials with a unique hyperbolic dispersion relation allow propagating waves with infinitely large wavevectors and a high density of states. Researchers from Korea and Singapore provide a comprehensive review of hyperbolic metamaterials,
Andreas Aigner +3 more
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