Results 11 to 20 of about 1,124,071 (202)

The $\log$ symplectic geometry of Poisson slices [PDF]

open access: yesThe Journal of Symplectic Geometry, 2020
Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-sections in real symplectic geometry.
Peter Crooks, M. Roser
semanticscholar   +1 more source

Basic Notions of Poisson and Symplectic Geometry in Local Coordinates, with Applications to Hamiltonian Systems

open access: yesUniverse, 2022
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints.
Alexei A. Deriglazov
doaj   +1 more source

Roller Bearing Fault Diagnosis Based on Partial Reconstruction Symplectic Geometry Mode Decomposition and LightGBM

open access: yesIEEE Access, 2023
It is always a hot and challenging problem to extract the characteristic information of roller bearings from strong noise interference. Conventional Hilbert-Huang Transform (HHT), Local Mean Decomposition (LMD), Local Feature-Scale Decomposition (LCD ...
Yanfei Liu   +5 more
doaj   +1 more source

Global Geometry of Bayesian Statistics

open access: yesEntropy, 2020
In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
doaj   +1 more source

The symplectic geometry of higher Auslander algebras: Symmetric products of disks [PDF]

open access: yesForum of Mathematics, Sigma, 2019
We show that the perfect derived categories of Iyama’s d-dimensional Auslander algebras of type ${\mathbb {A}}$ are equivalent to the partially wrapped Fukaya categories of the d-fold symmetric product of the $2$-dimensional unit disk with finitely many ...
Tobias Dyckerhoff   +2 more
semanticscholar   +1 more source

The Characterization of Affine Symplectic Curves in ℝ4

open access: yesMathematics, 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
doaj   +1 more source

Symplectic geometry and connectivity of spaces of frames [PDF]

open access: yesAdvances in Computational Mathematics, 2018
Frames provide redundant, stable representations of data which have important applications in signal processing. We introduce a connection between symplectic geometry and frame theory and show that many important classes of frames have natural symplectic
Tom Needham, C. Shonkwiler
semanticscholar   +1 more source

Synthesis of Logical Clifford Operators via Symplectic Geometry [PDF]

open access: yesInternational Symposium on Information Theory, 2018
Quantum error-correcting codes can be used to protect qubits involved in quantum computation. This requires that logical operators acting on protected qubits be translated to physical operators (circuits) acting on physical quantum states.
Narayanan Rengaswamy   +3 more
semanticscholar   +1 more source

Generating functions in Symplectic Geometry

open access: yesPesquimat, 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
doaj   +1 more source

Home - About - Disclaimer - Privacy