Stringy Geometry and Topology of Orbifolds [PDF]
arXiv, 2000 This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
arxiv
The notion of dimension in geometry and algebra [PDF]
arXiv, 2005 This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
arxiv
Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Calc Var Partial Differ Equ, 2023 Magnabosco M, Rossi T.
europepmc +1 more source
Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]
Entropy (Basel), 2023 Feng Q, Li W.
europepmc +1 more source
An Explainable Geometric-Weighted Graph Attention Network for Identifying Functional Networks Associated with Gait Impairment. [PDF]
Med Image Comput Comput Assist Interv, 2023 Nerrise F +4 more
europepmc +1 more source
Riemannian Trust Region Method for Minimization of the Fourth Central Moment for Localized Molecular Orbitals. [PDF]
J Phys Chem A, 2023 Sepehri A, Li RR, Hoffmann MR.
europepmc +1 more source
Rao-Fisher information geometry and dynamics of the event-universe views distributions. [PDF]
Heliyon, 2023 Shor O, Benninger F, Khrennikov A.
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Decoding Multi-Class Motor Imagery and Motor Execution Tasks Using Riemannian Geometry Algorithms on Large EEG Datasets. [PDF]
Sensors (Basel), 2023 Shuqfa Z, Belkacem AN, Lakas A.
europepmc +1 more source
R-Mixup: Riemannian Mixup for Biological Networks. [PDF]
KDD, 2023 Kan X +8 more
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