Results 21 to 30 of about 191,927 (272)
Asymptotic Relations in Applied Models of Inhomogeneous Poisson Point Flows
Mathematics, 2023 A model of a particle flow forming a copy of some image and the distance between the copy and the image are estimated using a special probability metric.
Gurami Tsitsiashvili, Marina Osipova
doaj +1 more source
Symplectic and Poisson geometry on b-manifolds [PDF]
, 2012 Let $M^{2n}$ be a Poisson manifold with Poisson bivector field $\Pi$. We say that $M$ is b-Poisson if the map $\Pi^n:M\to\Lambda^{2n}(TM)$ intersects the zero section transversally on a codimension one submanifold $Z\subset M$.
Ana Rita Pires +30 more
core +4 more sources
PROP Profile of Poisson Geometry [PDF]
Communications in Mathematical Physics, 2005 We argue that some classical local geometries are of infinity origin, i.e. their smooth formal germs are (homotopy) representations of cofibrant (di)operads in spaces concentrated in degree zero. In particular, they admit natural infinity generalizations when one considers homotopy representations of that (di)operads in generic differential graded ...
openaire +3 more sources
A Stochastic Geometry Approach to EMF Exposure Modeling
IEEE Access, 2021 Downlink exposure to electromagnetic fields due to cellular base stations in urban environments is studied using the stochastic geometry framework. A two-dimensional Poisson Point Process is assumed for the base station distribution.
Quentin Gontier +6 more
doaj +1 more source
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
The automorphism group of Poisson algebras on k[x; y]
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 Poisson algebras play a key role in the Hamiltonian mechanics, symplectic geometry and also are central in the study of quantum groups. At present, Poisson algebras are investigated by the many mathematicians of Russia, France, the USA, Brazil ...
U. Turusbekova, G. Azieva
doaj +1 more source
Deformation classes in generalized Kähler geometry
Complex Manifolds, 2020 We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry.
Gibson Matthew, Streets Jeffrey
doaj +1 more source
On computational Poisson geometry I: Symbolic foundations
Journal of Geometric Mechanics, 2021 <p style='text-indent:20px;'>We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our Python module $\textsf{PoissonGeometry}$ implements our algorithms and accompanies this paper. Examples of how our methods can be used are explained, including gauge transformations of Poisson bivector in dimension 3 ...
Evangelista-Alvarado, Miguel Ángel +2 more
openaire +3 more sources
Quantum Riemannian geometry of phase space and nonassociativity
Demonstratio Mathematica, 2017 Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
doaj +1 more source
A Hamilton-Poisson Model of the Chen-Lee System
Journal of Applied Mathematics, 2012 We will present some dynamical and geometrical properties of Chen-Lee system from the Poisson geometry point of view.
Camelia Pop Arieşanu
doaj +1 more source