Top eigenvalue of a random matrix: large deviations and third order phase transition
type: Item
instance of: scholarly article
title: Top eigenvalue of a random matrix: large deviations and third order phase transition
zbMATH Open document ID: 1456.82019
DOI: 10.1088/1742-5468/2014/01/P01012
author: Satya N. Majumdar
author: Grégory Schehr
published in: Journal of Statistical Mechanics: Theory and Experiment
publication date: 2020-08-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1311.0580
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82B41
Mathematics Subject Classification ID: 82B44
zbMATH DE Number: 7231248
MaRDI profile type: Publication
arXiv ID: 1311.0580
cites work: Q5808316
cites work: Q4001740
cites work: Q3090056
cites work: Universality classes for extreme-value statistics
cites work: Exact solutions for the statistics of extrema of some random 1D landscapes, application to the equilibrium and the dynamics of the toy model
cites work: Q3259350
cites work: Q3574974
cites work: Statistical Theory of the Energy Levels of Complex Systems. I
cites work: Matrix models for beta ensembles
cites work: Large Deviations of Extreme Eigenvalues of Random Matrices
cites work: The spectrum edge of random matrix ensembles.
cites work: Level-spacing distributions and the Airy kernel
cites work: On orthogonal and symplectic matrix ensembles
cites work: From random matrices to stochastic operators
cites work: Beta ensembles, stochastic Airy spectrum, and a diffusion
cites work: On the distribution of the largest eigenvalue in principal components analysis
cites work: A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
cites work: Shape fluctuations and random matrices
cites work: On the distribution of the length of the longest increasing subsequence of random permutations
cites work: Limiting distributions for a polynuclear growth model with external sources
cites work: Limit theorems for height fluctuations in a class of discrete space and time growth models
cites work: Fluctuations of the one-dimensional polynuclear growth model with external sources
cites work: Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
cites work: Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials
cites work: On the top eigenvalue of heavy-tailed random matrices
cites work: Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
cites work: The wasteland of random supergravities
cites work: Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity
cites work: Aging of spherical spin glasses
cites work: Spectral density asymptotics for Gaussian and Laguerre β-ensembles in the exponentially small region
cites work: Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices
cites work: Large deviations of the maximal eigenvalue of random matrices
cites work: A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
cites work: Right tail asymptotic expansion of Tracy-Widom beta laws
cites work: Topology trivialization and large deviations for the minimum in the simplest random optimization
cites work: Large deviations of the maximum eigenvalue in Wishart random matrices
cites work: Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\)
cites work: Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
cites work: DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
cites work: Spectral properties of the Jacobi ensembles via the Coulomb gas approach
cites work: Eigenvalues and Condition Numbers of Random Matrices
cites work: The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type
cites work: Exact results and universal asymptotics in the Laguerre random matrix ensemble
cites work: Exact minimum eigenvalue distribution of an entangled random pure state
cites work: Performance of Statistical Tests for Single-Source Detection Using Random Matrix Theory
cites work: Large deviations of the top eigenvalue of large Cauchy random matrices
cites work: Invariant β-Wishart ensembles, crossover densities and asymptotic corrections to the Marčenko–Pastur law
cites work: Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach
cites work: Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
cites work: The right tail exponent of the Tracy-Widom \(\beta\) distribution
cites work: Order analogues of Tracy–Widom distributions via the Lax method
cites work: Phase transitions in the distribution of bipartite entanglement of a random pure state
cites work: Statistical distribution of quantum entanglement for a random bipartite state
cites work: Phase Transitions of Bipartite Entanglement
cites work: Living at the Edge: A Large Deviations Approach to the Outage MIMO Capacity
cites work: Nonintersecting Brownian excursions
cites work: Watermelon uniform random generation with applications
cites work: Exact Distribution of the Maximal Height of p Vicious Walkers
cites work: Two Bessel bridges conditioned never to collide, double Dirichlet series, and Jacobi theta function
cites work: The height of watermelons with wall
cites work: Maximum of Dyson Brownian motion and non-colliding systems with a boundary
cites work: Average entropy of a subsystem
cites work: Planar diagrams
cites work: Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy

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cites work: Numerical study of higher order analogues of the Tracy–Widom distribution

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cites work: Index distribution of Cauchy random matrices