Local laws and a mesoscopic CLT for β‐ensembles

Optimal Local Law and Central Limit Theorem for $$\beta $$-Ensembles

(2022) Paul Bourgade et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Local laws and rigidity for Coulomb gases at any temperature

(2021) Scott Armstrong et al.   ANNALS OF PROBABILITY

DLR Equations and Rigidity for the Sine‐Beta Process

(2020) David Dereudre et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

CLT for Circular beta-Ensembles at high temperature

(2020) Adrien Hardy et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Quantitative normal approximation of linear statistics of $\beta$-ensembles

(2019) Gaultier Lambert et al.   ANNALS OF PROBABILITY

Fluctuations of Two Dimensional Coulomb Gases

(2018) Thomas Leblé et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Mesoscopic central limit theorem for general $\beta$-ensembles

(2018) Florent Bekerman et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Large deviation principle for empirical fields of Log and Riesz gases

(2017) Thomas Leblé et al.   INVENTIONES MATHEMATICAE

Local microscopic behavior for 2D Coulomb gases

(2016) Thomas Leblé   PROBABILITY THEORY AND RELATED FIELDS

2D Coulomb gases and the renormalized energy

(2015) Etienne Sandier et al.   ANNALS OF PROBABILITY

Transport Maps for $${\beta}$$ β -Matrix Models and Universality

(2015) F. Bekerman et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals

(2015) Nicolas Rougerie et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS

(2015) Mircea Petrache et al.   Journal of the Institute of Mathematics of Jussieu

Universality of general $\beta$ -ensembles

(2014) Paul Bourgade et al.   DUKE MATHEMATICAL JOURNAL

Change of variables as a method to study general β-models: Bulk universality

(2014) M. Shcherbina   JOURNAL OF MATHEMATICAL PHYSICS

1D log gases and the renormalized energy: crystallization at vanishing temperature

(2014) Etienne Sandier et al.   PROBABILITY THEORY AND RELATED FIELDS

Fluctuations of Linear Eigenvalue Statistics of β Matrix Models in the Multi-cut Regime

(2013) M. Shcherbina   JOURNAL OF STATISTICAL PHYSICS

Asymptotic Expansion of β Matrix Models in the One-cut Regime

(2012) G. Borot et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

(2012) Paul Bourgade et al.   JOURNAL OF MATHEMATICAL PHYSICS

Continuum limits of random matrices and the Brownian carousel

(2009) Benedek Valkó et al.   INVENTIONES MATHEMATICAE

Uniform energy distribution for an isoperimetric problem with long-range interactions

(2009) Giovanni Alberti et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY