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Gaussian asymptotics of discrete \(\beta \)-ensembles (Q2400805)

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English	Gaussian asymptotics of discrete \(\beta \)-ensembles	scientific article

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scholarly article

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Gaussian asymptotics of discrete \(\beta \)-ensembles (English)

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Publications Mathématiques

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publication date

30 August 2017

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full work available at URL

https://arxiv.org/abs/1505.03760

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zbMATH Keywords

\(\beta \)-ensembles

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Schwinger-Dyson equations

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MaRDI profile type

MaRDI publication profile

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PROPERTIES OF LOOP EQUATIONS FOR THE HERMITIAN MATRIX MODEL AND FOR TWO-DIMENSIONAL QUANTUM GRAVITY

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An Introduction to Random Matrices

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A model for the bus system in Cuernavaca (Mexico)

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Transport maps for \(\beta\)-matrix models and universality

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Large deviations for Wigner's law and Voiculescu's non-commutative entropy

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Breakdown of universality in multi-cut matrix models

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Schur dynamics of the Schur processes

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CLT for spectra of submatrices of Wigner random matrices

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Anisotropic growth of random surfaces in \({2+1}\) dimensions

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Shuffling algorithm for boxed plane partitions

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General β-Jacobi Corners Process and the Gaussian Free Field

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Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

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Asymptotics of Plancherel-type random partitions

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Integrable probability: from representation theory to MacDonald processes

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Asymptotic expansion of \(\beta \) matrix models in the one-cut regime

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Edge universality of beta ensembles

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On the statistical mechanics approach in the random matrix theory: Integrated density of states.

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Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients

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Planar diagrams

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Representations of classical Lie groups and quantized free convolution

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Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit

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Matrix eigenvalue model: Feynman graph technique for all genera

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Asymptotic domino statistics in the Aztec diamond

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The shape of a typical boxed plane partition

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Asymptotics of unitary and orthogonal matrix integrals

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Gaussian fluctuations of Young diagrams and structure constants of Jack characters

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Constrained energy problems with applications to orthogonal polynomials of a discrete variable

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All order asymptotic expansion of large partitions

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A matrix model for plane partitions

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Topological recursion in enumerative geometry and random matrices

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On large deviations for the spectral measure of discrete Coulomb gas

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Nonintersecting paths and the Hahn orthogonal polynomial ensemble

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Multilevel Dyson Brownian motions via Jack polynomials

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Asymptotics of unitary multimatrix models: the Schwinger-Dyson lattice and topological recursion

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Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.

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On fluctuations of eigenvalues of random Hermitian matrices.

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Discrete orthogonal polynomial ensembles and the Plancherel measure

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Shape fluctuations and random matrices

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Non-intersecting paths, random tilings and random matrices

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Eigenvalues of GUE minors

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Height fluctuations in the honeycomb dimer model

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Limit shapes and the complex Burgers equation

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Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles

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Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices

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Quantum geometry and quiver gauge theories

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On the distribution of the roots of certain symmetric matrices

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BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters

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The problem of harmonic analysis on the infinite-dimensional unitary group.

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Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities.

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Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes

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Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field

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Fluctuations of linear eigenvalue statistics of \(\beta \) matrix models in the multi-cut regime

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Identifiers

zbMATH Open document ID

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10.1007/s10240-016-0085-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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