Results 71 to 80 of about 2,638,059 (271)
Lax operator algebras of type $G_2$ [PDF]
Lax operator algebras for the root system $G_2$, and arbitrary finite genus Riemann surfaces and Tyurin data on them are constructed.
arxiv
Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer+13 more
wiley +1 more source
Left-symmetric Algebras From Linear Functions [PDF]
In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain 2-dimensional left-symmetric algebras.
arxiv
Susceptible‐infected‐recovered model with stochastic transmission
Abstract The susceptible‐infected‐recovered (SIR) model is the cornerstone of epidemiological models. However, this specification depends on two parameters only, which results in its lack of flexibility and explains its difficulty to replicate the volatile reproduction numbers observed in practice.
Christian Gouriéroux, Yang Lu
wiley +1 more source
The Classification of n-Lie Algebras [PDF]
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
Analysis of density matrix embedding theory around the non‐interacting limit
Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès+4 more
wiley +1 more source
Abstract Ordinary differential equations can be used to describe simulation models. As such, solving these equations is an important task in the high performance computing (HPC) domain. Field programmable gate arrays (FPGAs) are a promising platform, expected to be usable as efficient accelerators for such computations.
Silas Bartel, Matthias Korch
wiley +1 more source
Dual Lie Bialgebras of Witt and Virasoro Types [PDF]
Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt algebra and the Virasoro algebra are investigated. As a result, we obtain some infinite dimensional Lie algebras.
arxiv
Some problems in mathematics and mathematical physics [PDF]
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source