Local microscopic behavior for 2D Coulomb gases

DOI10.1007/s00440-016-0744-yzbMath1379.82004arXiv1510.01506OpenAlexW2261847795MaRDI QIDQ1682495

Thomas Leblé

Publication date: 30 November 2017

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

Full work available at URL: https://arxiv.org/abs/1510.01506

zbMATH Keywords

large deviation principleCoulomb gasescanonical Gibbs

Mathematics Subject Classification ID

Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05) Random matrices (algebraic aspects) (15B52) Variational principles of physics (49S05)

Related Items

Coulomb and Riesz gases: The known and the unknown, Edge behavior of two-dimensional Coulomb gases near a hard wall, Concentration for Coulomb gases and Coulomb transport inequalities, Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble, Local density for two-dimensional one-component plasma, Quantum statistics transmutation via magnetic flux attachment, Large deviation principle for empirical fields of log and Riesz gases, Stability of the Laughlin phase against long-range interactions, Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature, Law of large numbers for the maximum of the two-dimensional Coulomb gas potential, The Wasserstein distance to the circular law, Local laws and a mesoscopic CLT for β‐ensembles, Equidistribution of jellium energy for Coulomb and Riesz interactions, Local incompressibility estimates for the Laughlin phase, Local laws and rigidity for Coulomb gases at any temperature, Fluctuations of two dimensional Coulomb gases, Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentials, Rigidity of the Laughlin liquid, On the Laughlin function and its perturbations, Rigidity of the three-dimensional hierarchical Coulomb gas, Optimal local law and central limit theorem for \(\beta\)-ensembles

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