Results 11 to 20 of about 1,008,318 (283)
The hyperbolic geometry of financial networks. [PDF]
Sci Rep, 2021 Based on data from the European banking stress tests of 2014, 2016 and the transparency exercise of 2018 we construct networks of European banks and demonstrate that the latent geometry of these financial networks can be well-represented by geometry of ...
Keller-Ressel M, Nargang S.
europepmc +7 more sources
Hyperbolic geometry of gene expression. [PDF]
iScience, 2021 Summary: Patterns of gene expressions play a key role in determining cell state. Although correlations in gene expressions have been well documented, most of the current methods treat them as independent variables.
Zhou Y, Sharpee TO.
europepmc +2 more sources
The Beckman–Quarles Theorem in Hyperbolic Geometry [PDF]
Journal of Mathematics, 2021 In this paper, we present the counterpart of the Beckman–Quarles theorem in the Poincaré disc model of hyperbolic geometry to characterize the gyroisometries (hyperbolic isometries) with a single nonzero distance a∈0,1 satisfying a2∈ℚ.
Oğuzhan Demirel +2 more
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Abstract Every compact surface admits a constant curvature metric, endowing it with a geometry. For surfaces of genus at least 2, this leads to hyperbolic geometry. The model space is the hyperbolic plane. We give a brief introduction to the beautiful world of hyperbolic geometry in dimension 2 starting from the hyperbolic plane and ...
Clarence Kineider +4 more
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METHODOLOGICAL APPROACH TO CONGRUENCE OF QUADRILATERALS IN HYPERBOLIC GEOMETRY
Facta Universitatis. Series, Teaching, Learning and Teacher Education, 2021 In this paper we will prove new criteria for the congruence of convex quadrilaterals in Hyperbolic geometry and consequently, display the appropriate methodological approach in teaching the same.
Milan Zlatanović, Victor Aguilar
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An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach [PDF]
Mathematics Interdisciplinary Research, 2016 The aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. In [1], Ungar and Chen showed that the algebra of the group SL(2, C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing ...
Mahfouz Rostamzadeh +1 more
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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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Hyperbolic geometry of complex networks [PDF]
Physical Review E, 2010 We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong clustering in complex networks emerge naturally as simple reflections of the negative curvature and metric property of
Krioukov, Dmitri +4 more
openaire +4 more sources
SciPost Physics, 2023 Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory.
Atakan Hilmi Firat
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KONFLIK KOGNITIF MAHASISWA DALAM MEMAHAMI KONSEP GEOMETRI HIPERBOLIK DAN ELLIPTIK
Jupitek, 2020 Using schemes of Euclid's geometrical concepts in long-term memory to understand hyperbolic geometry and elliptic geometry concepts with assimilation and accommodation allows for cognitive conflict.
Mega Teguh Budiarto, Rini Setyaningsih
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