Bulk universality of general β-ensembles with non-convex potential

From MaRDI portal
Publication:2872273

DOI10.1063/1.4751478zbMath1278.82032arXiv1201.2283OpenAlexW3097974418MaRDI QIDQ2872273

Paul Bourgade, Horng-Tzer Yau, László Erdős

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2283




Related Items

Coulomb and Riesz gases: The known and the unknownLarge deviations for discrete \(\beta\)-ensemblesThe real Ginibre ensemble with \(k=O(n)\) real eigenvaluesConvergence of eigenvalues to the support of the limiting measure in critical β matrix modelsUniversality of the Stochastic Airy OperatorConvergence of local statistics of Dyson Brownian motionPoisson statistics for beta ensembles on the real line at high temperatureLocal density for two-dimensional one-component plasmaLocal microscopic behavior for 2D Coulomb gasesEntropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensemblesLarge deviation principle for empirical fields of log and Riesz gasesThe Nevai condition and a local law of large numbers for orthogonal polynomial ensemblesPoisson statistics for matrix ensembles at large temperatureGaussian fluctuations and free energy expansion for Coulomb gases at any temperatureEdge scaling of the \(\beta\)-Jacobi ensembleRigidity of eigenvalues for \(\beta\) ensemble in multi-cut regimeUniversality for random matrix flows with time-dependent densityTransport maps for β-matrix models in the multi-cut regimeEquidistribution of jellium energy for Coulomb and Riesz interactionsDyson Brownian motion for general \(\beta\) and potential at the edgeEdge universality of beta ensemblesUniversality of general \(\beta\)-ensemblesFixed energy universality of Dyson Brownian motionLocal laws and rigidity for Coulomb gases at any temperatureAsymptotics for products of characteristic polynomials in classical \(\beta\)-ensemblesGap universality of generalized Wigner and \(\beta\)-ensembles1D log gases and the renormalized energy: crystallization at vanishing temperatureFluctuations of the free energy of the spherical Sherrington-Kirkpatrick modelLimits for circular Jacobi beta-ensemblesUniversality in several-matrix models via approximate transport mapsFluctuations of two dimensional Coulomb gasesRigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentialsHigher-Dimensional Coulomb Gases and Renormalized Energy FunctionalsBulk universality for deformed Wigner matricesFrom Boltzmann to random matrices and beyondFixed Energy Universality for Generalized Wigner MatricesOptimal multi-resolvent local laws for Wigner matricesGround states and hyperuniformity of the hierarchical Coulomb gas in all dimensionsRigidity of the three-dimensional hierarchical Coulomb gasIntroduction to Special Issue: In Honor of Elliott Lieb's 80th birthdayOptimal local law and central limit theorem for \(\beta\)-ensembles



Cites Work