Results 51 to 60 of about 405,321 (199)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Zero divisors in reduction algebras [PDF]

arXiv, 2011
We establish the absence of zero divisors in the reduction algebra of a Lie algebra g with respect to its reductive Lie sub-algebra k. The class of reduction algebras include the Lie algebras (they arise when k is trivial) and the Gelfand--Kirillov conjecture extends naturally to the reduction algebras.
arxiv  

Associative and Lie deformations of Poisson algebras [PDF]

Communications in Mathematics. 20 (2012), no.2, p117 to p136, 2011
Considering a Poisson algebra as a non associative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this non associative algebra. This gives a natural interpretation of deformations which preserves the underlying associative structure and we study deformations which preserve the underlying Lie ...
arxiv  

Discrete Quantum Walks on Graphs and Digraphs

, 2018
Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm.
Hanmeng Zhan
semanticscholar   +1 more source

Time‐Multiplexed Reservoir Computing with Quantum‐Dot Lasers: Impact of Charge‐Carrier Scattering Timescale

physica status solidi (RRL) – Rapid Research Letters, EarlyView.
Reservoir computing with optical devices offers an energy‐efficient approach for time‐series forecasting. For quantum‐dot lasers with optical self‐feedback, the scattering timescale R into the quantum‐dot levels changes the predictive performance of the reservoir computer.
Huifang Dong, Lina Jaurigue, Kathy Lüdge   +2 more
wiley   +1 more source

Smoothness of Algebraic Supervarieties and Supergroups [PDF]

arXiv, 2007
In this paper we discuss the notion of smoothness in complex algebraic supergeometry and we prove that all affine complex algebraic supergroups are smooth. We then prove the stabilizer theorem in the algebraic context, providing some useful applications.
arxiv  

The Classification of n-Lie Algebras [PDF]

arXiv, 2010
This paper proves the isomorphic criterion theorem for (n+2)-dimensional n-Lie algebras, and gives a complete classification of (n+1)-dimensional n-Lie algebras and (n+2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.
arxiv  

Algebras Satisfying Triality and S_4-symmetry [PDF]

arXiv, 2015
We give a review of recent works for non-associative algebras, especially Lie algebras satisfying the triality relation. They are also intimately related to S_4 (symmetric group of 4-objects) symmetry of the Lie algebras.
arxiv  

Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms are Novikov algebras [PDF]

arXiv, 2015
This paper is to prove that a fermionic Novikov algebra equipped with an invariant non-degenerate symmetric bilinear form is a Novikov algebra.
arxiv  

On $CR$ mappings between algebraic Cauchy--Riemann manifolds and separate algebraicity for holomorphic functions [PDF]

arXiv, 1994
We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy--Riemann manifolds. A generalization of separate algebraicity principle is established.
arxiv