Zobrazeno 1 - 10
of 786
pro vyhledávání: '"Kuijlaars, A."'
We consider orthogonal polynomials with respect to the weight $|z^2+a^2|^{cN}e^{-N|z|^2}$ in the whole complex plane. We obtain strong asymptotics and the limiting normalized zero counting measure (mother body) of the orthogonal polynomials of degree
Externí odkaz:
http://arxiv.org/abs/2408.12952
We compare two methods for analysing periodic dimer models. These are the matrix-valued orthogonal polynomials approach due to Duits and one of the authors, and the Wiener-Hopf approach due to Berggren and Duits. We establish their equivalence in the
Externí odkaz:
http://arxiv.org/abs/2402.07706
Autor:
Kuijlaars, Arno B. J.
Publikováno v:
Journal of Approximation Theory 288 (2023), 105875
The $n$-grid $E_n$ consists of $n$ equally spaced points in $[-1,1]$ including the endpoints $\pm 1$. The extremal polynomial $p_n^*$ is the polynomial that maximizes the uniform norm $\| p \|_{[-1,1]}$ among polynomials $p$ of degree $\leq \alpha n$
Externí odkaz:
http://arxiv.org/abs/2301.01591
Publikováno v:
SIGMA 19 (2023), 020, 18 pages
A recent result of S.-Y. Lee and M. Yang states that the planar orthogonal polynomials orthogonal with respect to a modified Gaussian measure are multiple orthogonal polynomials of type II on a contour in the complex plane. We show that the same poly
Externí odkaz:
http://arxiv.org/abs/2212.06526
We analyze the large degree asymptotic behavior of matrix valued orthogonal polynomials (MVOPs), with a weight that consists of a Jacobi scalar factor and a matrix part. Using the Riemann-Hilbert formulation for MVOPs and the Deift-Zhou method of ste
Externí odkaz:
http://arxiv.org/abs/2210.00797
Critical measures in the complex plane are saddle points for the logarithmic energy with external field. Their local and global structure was described by Martinez-Finkelshtein and Rakhmanov. In this paper we start the development of a theory of crit
Externí odkaz:
http://arxiv.org/abs/2207.02068
Autor:
Groot, Alan, Kuijlaars, Arno B. J.
Publikováno v:
Constructive Approximation 55 (2022), 775--827
In this paper, we study a class of matrix-valued orthogonal polynomials (MVOPs) that are related to 2-periodic lozenge tilings of a hexagon. The general model depends on many parameters. In the cases of constant and $2$-periodic parameter values we s
Externí odkaz:
http://arxiv.org/abs/2104.14822
Autor:
Kuijlaars, Arno, Tovbis, Alexander
We prove existence, uniqueness and non-negativity of solutions of certain integral equations describing the density of states $u(z)$ in the spectral theory of soliton gases for the one dimensional integrable focusing Nonlinear Schr\"{o}dinger Equatio
Externí odkaz:
http://arxiv.org/abs/2101.03964
We study the equilibrium measure on the two dimensional sphere in the presence of an external field generated by r+1 equal point charges that are symmetrically located around the north pole. The support of the equilibrium measure is known as the drop
Externí odkaz:
http://arxiv.org/abs/2008.01017
Autor:
Antoinette Kuijlaars
Publikováno v:
Transposition, Vol 11 (2023)
Cet article a pour objectif de montrer les différents niveaux de socialisations musicales à l’œuvre dans l’élaboration, la réception, et les effets de réalité d’une norme musicale socialement construite : le tempo des baterias des école
Externí odkaz:
https://doaj.org/article/fe63b6dfac4e4ba399852aec00c65360
