Results 21 to 30 of about 1,124,071 (202)
Airy structures and symplectic geometry of topological recursion [PDF]
Proceedings of Symposia in Pure Mathematics, 2017 We propose a new approach to the topological recursion of Eynard-Orantin based on the notion of Airy structure, which we introduce in the paper. We explain why Airy structure is a more fundamental object than the one of the spectral curve. We explain how
M. Kontsevich, Y. Soibelman
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Derived Stacks in Symplectic Geometry [PDF]
, 2018 This is a survey paper on derived symplectic geometry, that will appear as a chapter contribution to the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel Catren.
D. Calaque
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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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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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An invitation to singular symplectic geometry [PDF]
International Journal of Geometric Methods in Modern Physics (IJGMMP), 2017 In this paper, we analyze in detail a collection of motivating examples to consider [Formula: see text]-symplectic forms and folded-type symplectic structures.
Roisin Braddell +4 more
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Symplectic Geometry and Spectral Properties of Classical and Quantum Coupled Angular Momenta [PDF]
Journal of nonlinear science, 2016 We give a detailed study of the symplectic geometry of a family of integrable systems obtained by coupling two angular momenta in a non-trivial way. These systems depend on a parameter t∈[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{
Yohann Le Floch, Á. Pelayo
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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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Conformal symplectic geometry of cotangent bundles [PDF]
The Journal of Symplectic Geometry, 2016 We prove a version of the Arnol'd conjecture for Lagrangian submanifolds of conformal symplectic manifolds: a Lagrangian $L$ which has non-zero Morse-Novikov homology for the restriction of the Lee form $\beta$ cannot be disjoined from itself by a $C^0 ...
Baptiste Chantraine, Emmy Murphy
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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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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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