Results 21 to 30 of about 4,283 (134)
A Century of Turbulent Cascades and the Emergence of Multifractal Operators
Earth and Space Science, Volume 7, Issue 3, March 2020., 2020 Abstract A century of cascades and three decades of multifractals have built up a truly interdisciplinary framework that has enabled a new approach and understanding of nonlinear phenomena, in particular, in geophysics. Nevertheless, there seems to be a profound gap between the potentials of multifractals and their actual use.
Daniel Schertzer, Ioulia Tchiguirinskaia
wiley +1 more source
Noncommutative Jordan algebras of capacity two [PDF]
Transactions of the American Mathematical Society, 1971 Let J J be a noncommutative Jordan algebra with 1. If J J has two orthogonal idempotents e e and f f such that 1 = e + f 1 = e + f and such that the Peirce 1 1 -spaces of each are Jordan division rings, then
openaire +2 more sources
Dirichlet Type Problem for 2D Quaternionic Time‐Harmonic Maxwell System in Fractal Domains
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time‐harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h‐summability condition for the curves, which would be extremely irregular and deserve to be considered fractals ...
Yudier Peña Pérez +4 more
wiley +1 more source
Restricted noncommutative Jordan algebras of characteristic 𝑝 [PDF]
Proceedings of the American Mathematical Society, 1958 In [7]2 we obtained a satisfactory structure theory for these algebras of finite dimension over F of characteristic 0 by proving that they are trace-admissible. Recent examples by L. A. Kokoris [4] show that the algebras satisfying (1) and (2) are not in general traceadmissible if F is of characteristic p > 2. It is natural to seek a generalization of (
openaire +1 more source
Modified Novikov Operators and the Kastler‐Kalau‐Walze‐Type Theorem for Manifolds with Boundary
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we give two Lichnerowicz‐type formulas for modified Novikov operators. We prove Kastler‐Kalau‐Walze‐type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4‐dimensional compact manifolds.
Sining Wei, Yong Wang, John D. Clayton
wiley +1 more source
Infinite Nodal Noncommutative Jordan Algebras; Differentiably Simple Algebras [PDF]
Transactions of the American Mathematical Society, 1971 The first result is that any differentiably simple algebra of the form A = F 1 + R A = F1 + R , for R a proper ideal, 1 the identity element, and F the base field, must be a subalgebra of a (commutative associative) power series algebra over F, and is truncated if the characteristic is not zero.
openaire +1 more source
Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]
, 2009 A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN +7 more
core +2 more sources
Noncommutative Jordan algebras of characteristic 0 [PDF]
Proceedings of the American Mathematical Society, 1955 That is, A is flexible (a weaker condition than commutativity). If a unity element is adjoined to A in the usual fashion, then a necessary and sufficient condition that (2) be satisfied in the extended algebra is that both (2) and (3) be satisfied in A. We define a noncommutative Jordan algebra A over an arbitrary field F to be an algebra satisfying (1)
openaire +1 more source
AxiomsColour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj +1 more source
Structure theory for noncommutative Jordan H∗-algebras
Journal of Algebra, 1987 The theory of associative Hilbert algebras as developed in [\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364-386 (1945; Zbl 0060.269)] has been extended to various classes of nonassociative algebras, among them Jordan algebras, cf. [\textit{C. Viola Devapakkiam}, Math. Proc. Camb. Philos. Soc. 78, 293-300 (1975; Zbl 0357.17015) and with \textit{P. S.
Mira, JoséAntonio Cuenca +1 more
openaire +2 more sources