Results 11 to 20 of about 440,549 (202)

Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]

open access: yes, 2010
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann, G, Kieburg, M, Phillips, M J
core   +7 more sources

The geometry of self-affine fractals [PDF]

open access: yes, 2009
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
core   +2 more sources

Affine invariant triangulations [PDF]

open access: yes, 2021
© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/We study affine invariant 2D triangulation methods.
Silveira, Rodrigo R.I.   +4 more
core   +1 more source

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés   +3 more
doaj   +1 more source

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés   +4 more
doaj   +1 more source

The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]

open access: yes, 2016
Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter   +2 more
core   +1 more source

Lie algebra admitted by the differential system s³(3) and functional basis of invariants polynomials

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii
The Lie algebra of the representation of the centro-affine group in the space of coefficients, phase variables and covariant vector coordinates for the ternary differential system with third-degree homogeneities s³(3) was obtained.
Lidia Mușinschi
doaj   +1 more source

Singular polynomials from orbit spaces [PDF]

open access: yes, 2012
We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
core   +1 more source

Configurations of quadratic systems possessing three distinct infinite singularities and one or more invariant parabolas

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
Denote by $\textbf{QS}$ the class of all non-degenerate planar quadratic differential systems and by $\textbf{QSP}$ the subclass of $\textbf{QS}$ of all systems possessing at least one invariant parabola.
Regilene Oliveira   +3 more
doaj   +1 more source

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

open access: yes, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

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