-
1
-
2
-
3
The hyperbolic geometry of financial networks
Published 2021-02-01“…Abstract 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 negative curvature, i.e., by hyperbolic geometry. Using two different hyperbolic embedding methods, hydra+ and Mercator, this allows us to connect the network structure to the popularity-vs-similarity model of Papdopoulos et al., which is based on the Poincaré disc model of hyperbolic geometry. …”
Get full text
Article -
4
Link prediction with hyperbolic geometry
Published 2020-10-01“…Overall these results suggest that the harder a specific link prediction task the more seriously one should consider using hyperbolic geometry.…”
Get full text
Article -
5
-
6
-
7
-
8
METHODOLOGICAL APPROACH TO CONGRUENCE OF QUADRILATERALS IN HYPERBOLIC GEOMETRY
Published 2021-07-01Subjects: Get full text
Article -
9
Hyperbolic geometry and amplituhedra in 1+2 dimensions
Published 2018-08-01“…In this paper we begin an exploration of these ideas starting from the simplest example of hyperbolic geometry, the hyperbolic plane. The hyperboloid model naturally guides us to re-discover the moduli space Associahedron, and a new version of its kinematical avatar. …”
Get full text
Article -
10
High Dimensional Hyperbolic Geometry of Complex Networks
Published 2020-10-01Subjects: “…hyperbolic geometry…”
Get full text
Article -
11
Ptolemy’s Theorem in the Relativistic Model of Analytic Hyperbolic Geometry
Published 2023-03-01Subjects: Get full text
Article -
12
An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach
Published 2016-01-01Subjects: “…hyperbolic geometry…”
Get full text
Article -
13
The Hyperbolic Ptolemy’s Theorem in the Poincaré Ball Model of Analytic Hyperbolic Geometry
Published 2023-07-01Subjects: Get full text
Article -
14
Routing Strategy of Integrated Satellite-Terrestrial Network Based on Hyperbolic Geometry
Published 2020-01-01Subjects: Get full text
Article -
15
A nonuniform popularity-similarity optimization (nPSO) model to efficiently generate realistic complex networks with communities
Published 2018-01-01Subjects: Get full text
Article -
16
The Geometrical Basis of 𝒫𝒯 Symmetry
Published 2018-10-01Subjects: Get full text
Article -
17
A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart
Published 2018-10-01Subjects: “…hyperbolic geometry…”
Get full text
Article -
18
Visualization of Escher-like Spiral Patterns in Hyperbolic Space
Published 2022-01-01Subjects: Get full text
Article -
19
Coquaternionic Quantum Dynamics for Two-level Systems
Published 2011-01-01Subjects: Get full text
Article -
20