From Gumbel to Tracy-Widom

From MaRDI portal
Publication:2369863

DOI10.1007/s00440-006-0012-7zbMath1116.60020arXivmath/0510181OpenAlexW2004226321MaRDI QIDQ2369863

Kurt Johansson

Publication date: 21 June 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510181



Related Items

General truncated linear statistics for the top eigenvalues of random matrices, Local elliptic law, Edge universality for deformed Wigner matrices, Noninteracting fermions in a trap and random matrix theory, Free fermions andα-determinantal processes, Extremal eigenvalues and eigenvectors of deformed Wigner matrices, Edge scaling limits for a family of non-Hermitian random matrix ensembles, Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes, Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel, Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ, Eigenvalues outside the bulk of inhomogeneous Erdős-Rényi random graphs, Fluctuations of deformed Wigner random matrices, Limiting spectral radii of circular unitary matrices under light truncation, Spectral radii of truncated circular unitary matrices, Periodic Airy process and equilibrium dynamics of edge fermions in a trap, Lower tail of the KPZ equation, Correlated random matrices: band rigidity and edge universality, Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model, Lyapunov exponent, universality and phase transition for products of random matrices, Peaks of cylindric plane partitions, Gumbel laws in the symmetric exclusion process, The spectral edge of some random band matrices, Hard edge limit of the product of two strongly coupled random matrices, Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation, Almost-Hermitian random matrices and bandlimited point processes, Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process, On the rightmost eigenvalue of non-Hermitian random matrices, Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution, On the integrable structure of deformed sine kernel determinants, Around the circular law, On the maximal domain of attraction of Tracy-Widom distribution for Gaussian unitary ensembles, Limiting distributions of spectral radii for product of matrices from the spherical ensemble, Spectral radii of products of random rectangular matrices, Tracy-Widom at high temperature, The periodic Schur process and free fermions at finite temperature, Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature, Non-interacting fermions in hard-edge potentials, The Tracy-Widom distribution is not infinitely divisible, Anisotropic local laws for random matrices, Local deformed semicircle law and complete delocalization for Wigner matrices with random potential, Spectral radii of large non-Hermitian random matrices, Product matrix processes for coupled multi-matrix models and their hard edge scaling limits, Free fermions and the classical compact groups, Universal distribution of batch completion times and time-cost tradeoff in a production line with arbitrary buffer size, Bulk universality for deformed Wigner matrices, The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles, Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices, Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations, Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices, On the origins of Riemann–Hilbert problems in mathematics*, Incomplete determinantal processes: from random matrix to Poisson statistics, Stampedes I: fishnet OPE and octagon bootstrap with nonzero bridges, Interplay between transport and quantum coherences in free fermionic systems, Circulant L-ensembles in the thermodynamic limit



Cites Work