Výsledky vyhledávání - "Alfredo Deaño"

Investigation of the two-cut phase region in the complex cubic ensemble of random matrices

Autor: Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño, Maxim Yattselev

We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential [Formula: see text], where t is a complex parameter. As proven in our previous paper [Bleher et al., J. Stat. Phys. 166, 784–827 (2017)], t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a325693aadcf1ce932fadd8fcd370c5a
http://arxiv.org/abs/2201.12871

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Characteristic polynomials of complex random matrices and Painlevé transcendents

Autor: Nick Simm, Alfredo Deaño

We study expectations of powers and correlation functions for characteristic polynomials of $N \times N$ non-Hermitian random matrices. For the $1$-point and $2$-point correlation function, we obtain several characterizations in terms of Painlev\'e t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b50662a91b826552e0717816e7245eb9
https://hdl.handle.net/10016/33852

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The kissing polynomials and their Hankel determinants

Autor: Andrew F Celsus, Alfredo Deaño, Daan Huybrechs, Arieh Iserles

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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In this paper we investigate algebraic, differential and asymptotic properties of polynomials $p_n(x)$ that are orthogonal with respect to the complex oscillatory weight $w(x)=e^{i\omega x}$ on the interval $[-1,1]$, where $\omega>0$. We also investi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c102532087fc7258eef2a206a10885d
https://lirias.kuleuven.be/handle/123456789/684733

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Global-phase portrait and large-degree asymptotics for the Kissing polynomials

Autor: Andrew F. Celsus, Ahmad Barhoumi, Alfredo Deaño

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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Funder: Comunidad de Madrid; Id: http://dx.doi.org/10.13039/100012818
Funder: Consejería de Educación e Investigación; Id: http://dx.doi.org/10.13039/501100010774
Funder: Engineering and Physical Sciences Research Council; Id: http://dx.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::710d0ae3fd7dcddb99d481499167e672
https://hdl.handle.net/10016/34253

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Ladder relations for a class of matrix valued orthogonal polynomials

Autor: Alfredo Deaño, Bruno Eijsvoogel, Pablo Román

Publikováno v: e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
Studies in Applied Mathematics, 146, 2, pp. 463-497
Studies in Applied Mathematics, 146, 463-497
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
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Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) on (Formula presented.), and we derive algebraic and different

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84c5fccfffee331b586b1028fea00e09
http://hdl.handle.net/10016/32063

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Special Function Solutions of Painlevé Equations: Theory, Asymptotics and Applications

Autor: Alfredo Deaño

Publikováno v: Orthogonal Polynomials: Current Trends and Applications ISBN: 9783030561895

In this paper we review the construction of special function solutions of the Painleve differential equations. We motivate their study using the theory of orthogonal polynomials, in particular deformation of classical weight functions, as well as uni

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::63a3a815fdbe1a8378617306647aaea6
https://doi.org/10.1007/978-3-030-56190-1_4

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On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials

Autor: Alfredo Deaño, Nick Simm

Publikováno v: Journal of Approximation Theory. 220:44-59

In this paper, we compute the probability that an $N \times N$ matrix from the generalised Gaussian Unitary Ensemble (gGUE) is positive definite, extending a previous result of Dean and Majumdar \cite{DM}. For this purpose, we work out the large degr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bc78a2b835204679e116bde9610de08
https://doi.org/10.1016/j.jat.2017.04.004

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Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure

Autor: Pablo Román, Edmundo J. Huertas, Alfredo Deaño

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
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This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \[ \frac{1}{x-c}x^{\alpha }e^{-x}dx+N\delta (x-c), \] for $x\in[0,\infty)$, $\alpha>-1$, a free parameter

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e5e33ab44f5371d232b9714c6e85a35
https://doi.org/10.1016/j.jmaa.2015.08.002

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Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity

Autor: Christophe Charlier, Alfredo Deaño

Publikováno v: e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications (OPSFA14). The full collection is available at https://www.emis.de/journals/SIGMA/OPSFA2017.html We study nxn Hankel determinants construc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95533165dced86fc90a5bef9b173bb31
http://hdl.handle.net/10016/32009

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Large z Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane

Autor: Alfredo Deaño

This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory of Andrei Kapaev. The full collection is available at https://www.emis.de/journals/SIGMA/Kapaev.html In this paper we obtain large z asymptotic expans

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39dd95109ced2ca46b8e3040144ebe86
http://hdl.handle.net/10016/32004

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