Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
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An Approach to Fisher-Rao Metric for Infinite Dimensional Non-Parametric Information Geometry
Non-parametric information geometry has long faced an “intractability barrier”: in the infinite-dimensional setting, the Fisher–Rao metric is a weak Riemannian metric functional that lacks a bounded inverse, rendering classical optimization and ...
Bing Cheng, Howell Tong
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Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
2000 Mathematics Subject Classification: 53C42, 53C15. In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold.
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RMETNet: A cross-subject motor imagery EEG signal classification model based on TSLANet and riemannian geometry features. [PDF]
Zhao Y +9 more
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RiemannInfer: improving transformer inference through Riemannian geometry. [PDF]
Mao R +5 more
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Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]
Erös D +3 more
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Thermodynamic and Kinetic Analysis of Molecular Conformational Dynamics in a Riemannian Framework. [PDF]
Fakharzadeh A +3 more
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Invariance Principle for Lifts of Geodesic Random Walks. [PDF]
Junné J, Redig F, Versendaal R.
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Book Review: The method of iterated tangents with applications in local Riemannian geometry [PDF]
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Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis. [PDF]
van den Berg NJ, Mula O, Vis L, Duits R.
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