Results 1 to 10 of about 16,779 (193)
A density theorem in parametrized differential Galois theory [PDF]
Pacific Journal of Mathematics, 2014 We study parameterized linear differential equations with coefficients depending meromorphically upon the parameters. As a main result, analogously to the unparameterized density theorem of Ramis, we show that the parameterized monodromy, the ...
Thomas Dreyfus, Thomas Dreyfus
core +6 more sources
Differential Galois Theory and Hopf Algebras for Lie Pseudogroups [PDF]
AxiomsAccording to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
doaj +2 more sources
RGB image encryption using SPN with a novel block cipher over simple graph adjacency matrices and Galois fields [PDF]
Scientific ReportsThis paper presents a construction of a secure image encryption scheme with graph theory, Galois field, and substitution-permutation network (SPN) for enhanced multimedia data security.
Muhammad Sajjad, Nawaf A. Alqwaifly
doaj +2 more sources
Integrability of stochastic birth-death processesviadifferential Galois theory [PDF]
, 2020 Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (the so-called master equation) describes the time-dependence of the ...
Primitivo B. Acosta-Humánez +2 more
openalex +4 more sources
Poisson Groups and Differential Galois Theory of Schroedinger Equation on the Circle [PDF]
, 2008 We combine the projective geometry approach to Schroedinger equations on the circle and differential Galois theory with the theory of Poisson Lie groups to construct a natural Poisson structure on the space of wave functions (at the zero energy level ...
Ian Marshall +3 more
openalex +4 more sources
Differential Galois Theory of Linear Difference Equations [PDF]
Mathematische Annalen, 2008 We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations.
Hardouin, Charlotte, Singer, Michael F.
core +8 more sources
IEEE Access, 2022 Since its birth in 2000, authenticated encryption (AE) has been a hot research topic, and many new features have been proposed to boost its security or performance.
Mohamud Ahmed Jimale +6 more
doaj +1 more source
Non-integrability on AdS3 supergravity backgrounds
Journal of High Energy Physics, 2020 We investigate classical integrability on two recently discovered classes of back- grounds in massive IIA supergravity. These vacua are of the form AdS3 × S2 × ℝ × CY2, they preserve small N $$ \mathcal{N} $$ = (0, 4) supersymmetry and are associated ...
Kostas Filippas
doaj +1 more source
A new discretization of the Euler equation via the finite operator theory [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe propose a novel discretization procedure for the classical Euler equation, based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators.
Miguel A. Rodríguez +1 more
doaj +1 more source
Meromorphic Non-Integrability of Several 3D Dynamical Systems
Entropy, 2017 In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge ...
Kaiyin Huang, Shaoyun Shi, Wenlei Li
doaj +1 more source