Relevant bibliographies by topics / Weingarten Calculus

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Weingarten Calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

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Journal articles on the topic "Weingarten Calculus"

1

Collins, Benoı̂t, and Sho Matsumoto. "Weingarten calculus via orthogonality relations: new applications." Latin American Journal of Probability and Mathematical Statistics 14, no. 1 (2017): 631. http://dx.doi.org/10.30757/alea.v14-31.

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MATSUMOTO, SHO. "GENERAL MOMENTS OF MATRIX ELEMENTS FROM CIRCULAR ORTHOGONAL ENSEMBLES." Random Matrices: Theory and Applications 01, no. 03 (2012): 1250005. http://dx.doi.org/10.1142/s2010326312500050.

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The aim of this paper is to present a systematic method for computing moments of matrix elements taken from circular orthogonal ensembles (COE). The formula is given as a sum of Weingarten functions for orthogonal groups but the technique for its proof involves Weingarten calculus for unitary groups. As an application, explicit expressions for the moments of a single matrix element of a COE matrix are given.
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MATSUMOTO, SHO. "WEINGARTEN CALCULUS FOR MATRIX ENSEMBLES ASSOCIATED WITH COMPACT SYMMETRIC SPACES." Random Matrices: Theory and Applications 02, no. 02 (2013): 1350001. http://dx.doi.org/10.1142/s2010326313500019.

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Ginory, Alejandro, and Jongwon Kim. "Weingarten calculus and the IntHaar package for integrals over compact matrix groups." Journal of Symbolic Computation 103 (March 2021): 178–200. http://dx.doi.org/10.1016/j.jsc.2019.12.003.

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5

Matsumoto, Sho. "Moments of a Single Entry of Circular Orthogonal Ensembles and Weingarten Calculus." Letters in Mathematical Physics 103, no. 2 (2012): 113–30. http://dx.doi.org/10.1007/s11005-012-0587-0.

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6

COLLINS, BENOÎT, MOTOHISA FUKUDA, and ION NECHITA. "LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS." Random Matrices: Theory and Applications 02, no. 01 (2013): 1250018. http://dx.doi.org/10.1142/s2010326312500189.

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In this paper, we study the behavior of the output of pure entangled states after being transformed by a product of conjugate random unitary channels. This study is motivated by the counterexamples by Hastings [Superadditivity of communication capacity using entangled inputs, Nat. Phys.5 (2009) 255–257] and Hayden–Winter [Counterexamples to the maximal p-norm multiplicativity conjecture for all p > 1, Comm. Math. Phys.284(1) (2008) 263–280] to the additivity problems. In particular, we study in depth the difference of behavior between random unitary channels and generic random channels. In
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7

Campbell, Jacob, and Zhi Yin. "Finite free convolutions via Weingarten calculus." Random Matrices: Theory and Applications, November 27, 2020, 2150038. http://dx.doi.org/10.1142/s2010326321500386.

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We consider the three finite free convolutions for polynomials studied in a recent paper by Marcus, Spielman and Srivastava. Each can be described either by direct explicit formulae or in terms of operations on randomly rotated matrices. We present an alternate approach to the equivalence between these descriptions, based on combinatorial Weingarten methods for integration over the unitary and orthogonal groups. A key aspect of our approach is to identify a certain quadrature property, which is satisfied by some important series of subgroups of the unitary groups (including the groups of unita
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8

Borot, Gaëtan, Séverin Charbonnier, Norman Do, and Elba Garcia-Failde. "Relating Ordinary and Fully Simple Maps via Monotone Hurwitz Numbers." Electronic Journal of Combinatorics 26, no. 3 (2019). http://dx.doi.org/10.37236/8634.

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A direct relation between the enumeration of ordinary maps and that of fully simple maps first appeared in the work of the first and last authors. The relation is via monotone Hurwitz numbers and was originally proved using Weingarten calculus for matrix integrals. The goal of this paper is to present two independent proofs that are purely combinatorial and generalise in various directions, such as to the setting of stuffed maps and hypermaps. The main motivation to understand the relation between ordinary and fully simple maps is the fact that it could shed light on fundamental, yet still not
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Dissertations / Theses on the topic "Weingarten Calculus"

1

Saad, Nadia Abdel Samie Basyouni Kotb. "Random Matrix Theory with Applications in Statistics and Finance." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/23698.

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This thesis investigates a technique to estimate the risk of the mean-variance (MV) portfolio optimization problem. We call this technique the Scaling technique. It provides a better estimator of the risk of the MV optimal portfolio. We obtain this result for a general estimator of the covariance matrix of the returns which includes the correlated sampling case as well as the independent sampling case and the exponentially weighted moving average case. This gave rise to the paper, [CMcS]. Our result concerning the Scaling technique relies on the moments of the inverse of compound Wishart matri
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2

Dahlqvist, Antoine. "Dualité de Schur-Weyl, mouvement brownien sur les groupes de Lie compacts classiques et étude asymptotique de la mesure de Yang-Mills." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2014. http://tel.archives-ouvertes.fr/tel-00961035.

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On s'intéresse dans cette thèse à l'étude de variables aléatoires sur les groupes de Lie compacts classiques. On donne une déformation du calcul de Weingarten tel qu'il a été introduit par B. Collins et P. Sniady. On fait une étude asymptotique du mouvement brownien sur les groupes de Lie compacts de grande dimension en obtenant des nouveaux résultats de fluctuations. Deux nouveaux objets, que l'on appelle champ maître gaussien planaire et champ maître orienté planaire, sont introduits pour décrire le comportement asymptotique des mesures de Yang-Mills pour des groupes de structure de grande d
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