Results 1 to 10 of about 16,850 (158)
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 +10 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
A density theorem for parameterized 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 ...
Dreyfus, Thomas
core +4 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
LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY [PDF]
Journal of the Institute of Mathematics of Jussieu, 2020 AbstractWe solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over $\mathbb{Q}$. More generally, we show that over such a field, every split differential embedding problem can be solved.
Annette Bachmayr +3 more
openaire +2 more sources
DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY [PDF]
International Journal of Geometric Methods in Modern Physics, 2009 This paper is an overview of our works that are related to investigations of the integrability of natural Hamiltonian systems with homogeneous potentials and Newton's equations with homogeneous velocity independent forces. The two types of integrability obstructions for these systems are presented.
Maciejewski, Andrzej J. +1 more
openaire +3 more sources
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
Differential Galois Theory and Integration [PDF]
, 2021 In this paper, we present methods to simplify reducible linear differential systems before solving. Classical integrals appear naturally as solutions of such systems. We will illustrate the methods developed in a previous paper on several examples to reduce the differential system.
Dreyfus, Thomas, Weil, Jacques-Arthur
openaire +3 more sources
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
Some definable Galois theory and examples [PDF]
, 2016 We make explicit certain results around the Galois correspondence in the context of definable automorphism groups, and point out the relation to some recent papers dealing with the Galois theory of algebraic differential equations when the constants are ...
Pillay, Anand, Sanchez, Omar Leon
core +2 more sources