Results 51 to 60 of about 154,127 (212)

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Breaking the Exponential: Decoherence‐Driven Power‐Law Spontaneous Emission in Waveguide Quantum Electrodynamics

Laser &Photonics Reviews, EarlyView.
Introducing dynamical dephasing into the photon modes of a waveguide causes spontaneous emission to switch from conventional exponential decay to a robust power‐law behavior visible at short times. The power law arises from photon diffusion in a dynamically disordered environment, uncovering a previously unexplored, decoherence‐induced pathway to ...
Stefano Longhi
wiley   +1 more source

On the Relationship between Primal/Dual Cell Complexes of the Cell Method and Primal/Dual Vector Spaces: an Application to the Cantilever Elastic Beam with Elastic Inclusion

Curved and Layered Structures, 2019
The Cell Method (CM) is an algebraic numerical method based on the use of global variables: the configuration, source and energetic global variables. The configuration variables with their topological equations, on the one hand, and the source variables ...
Ferretti Elena
doaj   +1 more source

SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states

, 2010
We show that different classes of topological order can be distinguished by the dynamical symmetry algebra of edge excitations. Fundamental topological order is realized when this algebra is the largest possible, the algebra of quantum area-preserving ...
Carlo A Trugenberger, DiFrancesco P, Freedman M H Kitaev A Larsen M J Wang Z, M Cristina Diamantini, Sarmas S Das Freedman M H Nayak C Simon S H Stern A, Wybourne B, Yoshioka D   +6 more
core   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

On Geometric Topological Algebras

Journal of Mathematical Analysis and Applications, 1993
The paper under review, one of related works by the author [see also the review above], is influenced by, and subsumed under, a programme of sheaf-theoretic treatment of differential geometry, hence the term ``geometric'' for the algebras in the title.
openaire   +2 more sources

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

Entanglement in BF theory. Part I. Essential topological entanglement

Journal of High Energy Physics
We study the entanglement structure of Abelian topological order described by p-form BF theory in arbitrary dimensions. We do so directly in the low-energy topological quantum field theory by considering the algebra of topological surface operators.
Jackson R. Fliss, Stathis Vitouladitis
doaj   +1 more source

Uniform topology on EQ-algebras

Open Mathematics, 2017
In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated.
Yang Jiang, Long Xin Xiao, He Peng Fei
doaj   +1 more source