Results 41 to 50 of about 1,140,852 (279)
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
The geometry of special symplectic representations [PDF]
Journal of Algebra, 2015 31pages
Slupinski, Marcus J., Stanton, Robert,
openaire +3 more sources
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
doaj +1 more source
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
doaj