Mathematics: Recent submissions
Now showing items 181-200 of 1478
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The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links
(Elsevier, 2023-12-05) -
A COUPLED ALPHA COMPLEX
(2023-04-04)The alpha complex is a subset of the Delaunay triangulation and is often used in computational geometry and topology. One of the main drawbacks of using the alpha complex is that it is non-monotone, in the sense that if ... -
Microstrata
(Springer Nature, 2023-10-01)Microstrata are the non-extremal analogues of superstrata: they are smooth, non-extremal (non-BPS) solitonic solutions to IIB supergravity whose deep-throat limits approximate black holes. Using perturbation theory and ... -
Dirac operator associated to a quantum metric
(2023-02-12) -
Algebraic aspects of boundaries in the Kitaev quantum double model
(2023-10-01)We provide a systematic treatment of boundaries based on subgroups K ⊆ G for the Kitaev quantum double D(G) model in the bulk. The boundary sites are representations of a * -subalgebra Ξ ⊆ D(G) and we explicate its structure ... -
Quantum geodesic flows and curvature
(2022-01-17) -
Quantum Jet Bundles
(2022-02-07) -
Quantum Kaluza-Klein theory with $M_2(\mathbb{C})$
(2023-03-10) -
Algebraic Aspects of Boundaries in the Kitaev Quantum Double Model
(AIP Publishing, 2022-08-12)We provide a systematic treatment of boundaries based on subgroups K ⊆ G for the Kitaev quantum double D(G) model in the bulk. The boundary sites are representations of a -subalgebra Ξ ⊆ D(G) and we explicate its structure ... -
Hopf-Galois extensions and twisted Hopf algebroids
(Elsevier, 2022-05-23)We show that the Ehresmann-Schauenburg bialgebroid of a quantum principal bundle P or Hopf Galois extension with structure quantum group H is in fact a left Hopf algebroid L(P,H). We show further that if H is coquasitriangular ... -
Quantum geodesic flows and curvature
(Springer Nature, 2023)We study geodesics flows on curved quantum Riemannian geometries using a recent formulation in terms of bimodule connections and completely positive maps. We complete this formalism with a canonical operation on ... -
Self-Consistent Modeling of Gravitational Theories beyond General Relativity.
(American Physical Society, 2023-09-15)The majority of extensions to general relativity (GR) display mathematical pathologies-higher derivatives, character change in equations that can be classified within partial differential equation theory, and even ... -
Testing the limits of scalar-Gauss-Bonnet gravity through nonlinear evolutions of spin-induced scalarization
(American Physical Society (APS), 2023-10-15)Quadratic theories of gravity with second order equations of motion provide an interesting model for testing deviations from general relativity in the strong gravity regime. However, they can suffer from a loss of ... -
Puncture gauge formulation for Einstein-Gauss-Bonnet gravity and four-derivative scalar-tensor theories in d+1 spacetime dimensions
(American Physical Society (APS), 2023-10-15)We develop a modified CCZ4 formulation of the Einstein equations in d + 1 spacetime dimensions for general relativity plus a Gauss-Bonnet term, as well as for the most general parity-invariant scalar-tensor theory ... -
Trust and employment protection legislation
(2024-01-01)We examine the role of generalized social trust in substituting for employment protection legislation. Using foreign direct investment from the US to a sample of OECD countries, we find that trust diminishes the importance ... -
Endpoint of the Gregory-Laflamme instability of black strings revisited
(American Physical Society, 2023)We reproduce and extend the previous studies of Lehner and Pretorius of the endpoint of the Gregory-Laflamme instability of black strings in five space-time dimensions. We consider unstable black strings of fixed thickness ... -
The black hole behind the cut
(Springer Nature, 2023-10-01)We study the analytic structure of the heavy-heavy-light-light holographic correlators in the supergravity approximation of the AdS3 × S 3/CFT2 duality. As an explicit example, we derive the correlator where the heavy ... -
WildlifeDatasets: An open-source toolkit for animal re-identification
In this paper, we present WildlifeDatasets - an open-source toolkit intended primarily for ecologists and computer-vision / machine-learning researchers. The WildlifeDatasets is written in Python, allows straightforward ...