Results 71 to 80 of about 9,958 (153)

Local–global principles for semi‐integral points on Markoff orbifold pairs

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study local–global principles for semi‐integral points on orbifold pairs of Markoff type. In particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak approximation and strong approximation off a finite set of places.
Vladimir Mitankin, Justin Uhlemann
wiley   +1 more source

General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.
ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo   +3 more
wiley   +1 more source

Non-local conserved currents and continuous non-invertible symmetries

open access: yesJournal of High Energy Physics
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro   +2 more
doaj   +1 more source

The geometry and arithmetic of bielliptic Picard curves

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

open access: yesFractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
doaj   +1 more source

On the conservation of energy: Noether's theorem revisited

open access: yesHeliyon
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
doaj   +1 more source

Exact solutions of equal-width equation and its conservation laws

open access: yesOpen Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood   +2 more
doaj   +1 more source

Equivariance, Variational Principles, and the Feynman Integral

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
doaj  

Birkhoff's Theorem from a geometric perspective: A simple example [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2016
‎From Hilbert's theorem of zeroes‎, ‎and from Noether's ideal theory‎, ‎Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes‎, ‎similar to their role in the original examples of algebraic ...
F. William Lawvere
doaj  

Emmy Noether and Linear Evolution Equations

open access: yesActa Polytechnica, 2013
Noether’s Theorem relates the Action Integral of a Lagrangian with symmetries which leave it invariant and the first integrals consequent upon the variational principle and the existence of the symmetries. These each have an equivalent in the Schrödinger
P. G. L. Leach
doaj  

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