Results 11 to 20 of about 1,844 (204)
Symplectic birational geometry [PDF]
, 2009 This is a survey on symplectic birational geometry. In arbitrary dimension, this subject is centered around the notion of uniruledness. In low dimensions, we will also discuss Kodaira dimension and minimality.
Li, Tian-Jun, Ruan, Yongbin
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The Characterization of Affine Symplectic Curves in ℝ4
Mathematics, 2019 Symplectic geometry arises as the natural geometry of phase-space in the equations of classical mechanics. In this study, we obtain new characterizations of regular symplectic curves with respect to the Frenet frame in four-dimensional symplectic space ...
Esra Çiçek Çetin, Mehmet Bektaş
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Generating functions in Symplectic Geometry
Pesquimat, 2019 In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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Virasoro entanglement Berry phases
Journal of High Energy Physics, 2022 We study the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In the case of 2d CFT, we consider a change of state through action with a suitable diffeomorphism on the circle: one that diagonalizes the adjoint ...
Jan de Boer +5 more
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Symplectic Entropy as a Novel Measure for Complex Systems
Entropy, 2016 Real systems are often complex, nonlinear, and noisy in various fields, including mathematics, natural science, and social science. We present the symplectic entropy (SymEn) measure as well as an analysis method based on SymEn to estimate the ...
Min Lei +4 more
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Entropy, 2020 In this paper, we describe and exploit a geometric framework for Gibbs probability densities and the associated concepts in statistical mechanics, which unifies several earlier works on the subject, including Souriau’s symplectic model of statistical ...
Frédéric Barbaresco +1 more
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Generalised Complex Geometry in Thermodynamical Fluctuation Theory
Entropy, 2015 We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry.
P. Fernández de Córdoba, J. M. Isidro
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Lagrangian Submanifolds of Symplectic Structures Induced by Divergence Functions
Entropy, 2020 Divergence functions play a relevant role in Information Geometry as they allow for the introduction of a Riemannian metric and a dual connection structure on a finite dimensional manifold of probability distributions.
Marco Favretti
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Feature Extraction of Gearbox Early Fault based on ISGMD and MED
Jixie chuandong, 2022 Aiming at the difficulty in identifying early faults and compound faults of gearboxes under strong noise background，a method of extracting fault features based on the combination of improved symplectic geometry mode decomposition （ISGMD） and minimum ...
Shuzhou Dong, Xunpeng Qin, Shiming Yang
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Gerbes in Geometry, Field Theory, and Quantisation
Complex Manifolds, 2021 This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.
Bunk Severin
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