Results 31 to 40 of about 1,844 (204)

Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation

Entropy, 2022
The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Frédéric Barbaresco
doaj   +1 more source

INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY [PDF]

Glasgow Mathematical Journal, 2007
AbstractQuaternionic vector mKDV equations are derived from the Cartan structure equation in the symmetric space=Sp(n+1)/Sp(1) ×Sp(n). The derivation of the soliton hierarchy utilizes a moving parallel frame and a Cartan connection 1-form ω related to the Cartan geometry onmodelled on$(\mk{sp}_{n+1}, \mk{sp}_{1}\,{\times}\, \mk{sp}_{n})$.
Asadi, E., Sanders, J.A.
openaire   +3 more sources

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Ammann Tilings in Symplectic Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2013
In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry.
Fiammetta Battaglia, Elisa Prato
doaj   +1 more source

Uncertainty Quantification in Planning Aircraft Ground Movement Operations With Towbarless Robotic Tractors

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta, Alberto Olivares, Ernesto Staffetti   +2 more
wiley   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, EarlyView.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

Gear fault diagnosis based on SGMD noise reduction and CNN

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2022
Gear vibration fault signals are non-stationary and nonlinear, so it is very difficult to accurately extract the fault characteristics for diagnosis. As symplectic geometry mode decomposition (SGMD) has shown excellent decomposition performance and noise
Wei CHEN, Hao WANG, Zhuoxian LI, Zhexin ZHOU   +3 more
doaj   +1 more source

On contact 3‐manifolds that admit a nonfree toric action

Bulletin of the London Mathematical Society, EarlyView.
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

WDVV‐based recursion for open Gromov–Witten invariants

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley   +1 more source