Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices

DOI10.1007/s00029-017-0387-6zbMath1404.22032arXiv1611.01892OpenAlexW3123803758MaRDI QIDQ1652904

Jonathan Novak, Piotr Śniady, Benoit Collins

Publication date: 16 July 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01892

zbMATH Keywords

quantizationrandom matrix theoryfree probabilityasymptotic representation theoryrepresentations of general linear groups

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Semisimple Lie groups and their representations (22E46) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (6)

Skew Howe duality and random rectangular Young tableaux ⋮ Moment methods on compact groups: Weingarten calculus and its applications ⋮ Projections of orbital measures and quantum marginal problems ⋮ Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category ⋮ Airy point process via supersymmetric lifts ⋮ Fourier transform on high-dimensional unitary groups with applications to random tilings

Cites Work

• Toda equations and piecewise polynomiality for mixed double Hurwitz numbers
• Free probability and random matrices
• On the convergence of monotone Hurwitz generating functions
• Second order freeness and fluctuations of random matrices. II: Unitary random matrices
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Limit laws for random matrices and free products
• A random matrix model from two dimensional Yang-Mills theory
• Representations of symmetric groups and free probability
• Parking functions and noncrossing partitions
• Random words, quantum statistics, central limits, random matrices
• Parking functions of types A and B
• Representations of unitary groups and free convolution
• Two-dimensional QCD is a string theory
• Representations of classical Lie groups and quantized free convolution
• On the complexity of computing Kostka numbers and Littlewood-Richardson coefficients
• Jucys-Murphy elements and the unitary Weingarten function
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• Representations of Lie groups and random matrices
• An Introduction to Random Matrices
• Jucys–Murphy Elements and Unitary Matrix Integrals
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Deciding Positivity of Littlewood--Richardson Coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices