Results 31 to 40 of about 1,384,853 (279)
On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds
Entropy, 2020 We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
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Absolute profinite rigidity and hyperbolic geometry [PDF]
Annals of Mathematics, 2018 We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients.
M. Bridson +3 more
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Efficient Shortest Paths in Scale-Free Networks with Underlying Hyperbolic Geometry [PDF]
International Colloquium on Automata, Languages and Programming, 2018 A standard approach to accelerating shortest path algorithms on networks is the bidirectional search, which explores the graph from the start and the destination, simultaneously.
Thomas Bläsius +5 more
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Hyperbolic Geometry and Neutrosophic Trigonometry: A Unified Approach to Uncertainty Management in Geometric Spaces [PDF]
Neutrosophic Sets and SystemsThis paper addresses the challenge of modeling uncertainty in hyperbolic geometry, where non Euclidean properties, such as angle sums in triangles smaller than 180°, complicate traditional trigonometric calculations.
Yismandry González Vargas +1 more
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Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry [PDF]
Communications in Mathematical Physics, 2020 We use coarse index methods to prove that the Landau Hamiltonian on the hyperbolic half-plane, and even on much more general imperfect half-spaces, has no spectral gaps.
Matthias Ludewig, Guo Chuan Thiang
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Frontiers in Cell and Developmental Biology, 2023 Background: The concept of the latent geometry of a network that can be represented as a graph has emerged from the classrooms of mathematicians and theoretical physicists to become an indispensable tool for determining the structural and dynamic ...
Paola Lecca +3 more
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Physical Review Research, 2021 Hyperbolic metamaterials have attracted considerable interest in the research community for their peculiar ability to enhance control of electromagnetic waves' propagation.
Shahram Dehdashti +7 more
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Al-Mustansiriyah Journal of Science, 2021 In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.
Gülcan Balakan, Oğuzhan Demirel
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, 2013 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.
openaire +4 more sources
The hyperbolic geometry of Markov’s theorem on Diophantine approximation and quadratic forms [PDF]
L'Enseignement mathématique, 2017 Markov's theorem classifies the worst irrational numbers with respect to rational approximation and the indefinite binary quadratic forms whose values for integer arguments stay farthest away from zero.
Boris A. Springborn
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