Results 61 to 70 of about 1,844 (204)

Discrete dynamics and supergeometry

Journal of High Energy Physics
We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and naturally incorporates laboratories.
Subhobrata Chatterjee, Andrew Waldron, Cem Yetişmişoğlu   +2 more
doaj   +1 more source

Explicit constructions of short virtual resolutions of truncations

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4000-4014, December 2025.
Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley   +1 more source

Model category structures on truncated multicomplexes for complex geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.
Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici, Muriel Livernet, Sarah Whitehouse   +2 more
wiley   +1 more source

Symplectic Analytical Solutions for the Magnetoelectroelastic Solids Plane Problem in Rectangular Domain

Journal of Applied Mathematics, 2011
The transversely isotropic magnetoelectroelastic solids plane problem in rectangular domain is derived to Hamiltonian system. In symplectic geometry space with the origin variables—displacements, electric potential, and magnetic potential, as well as ...
Xiao-Chuan Li, Wei-An Yao
doaj   +1 more source

Differential Invariants of Measurements, and Their Relation to Central Moments

Entropy, 2020
Due to the principle of minimal information gain, the measurement of points in an affine space V determines a Legendrian submanifold of V×V*×R. Such Legendrian submanifolds are equipped with additional geometric structures that come from the central ...
Eivind Schneider
doaj   +1 more source

Symplectic geometry in hybrid and impulsive optimal control

Communications in Analysis and Mechanics
Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory was applied to these systems and a hybrid version of Pontryagin's maximum principle was presented.
William Clark, Maria Oprea
doaj   +1 more source

Locally conformal symplectic manifolds

International Journal of Mathematics and Mathematical Sciences, 1985
A locally conformal symplectic (l. c. s.) manifold is a pair (M2n,Ω) where M2n(n>1) is a connected differentiable manifold, and Ω a nondegenerate 2-form on M such that M=⋃αUα (Uα- open subsets). Ω/Uα=eσαΩα, σα:Uα→ℝ, dΩα=0.
Izu Vaisman
doaj   +1 more source

Variational principle and phase space measure in non-canonical coordinates

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2005
Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates.
Sergi, A
doaj   +1 more source

On connection Bruijn-Erdös Theorem and symplectic geometry [PDF]

, 2023
Jesús Carrillo Pacheco
openalex   +1 more source

Derived Symplectic Geometry

Review paper. This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics.
openaire   +2 more sources