A localization theorem for the planar Coulomb gas in an external field

DOI10.1214/21-EJP613zbMath1480.60282arXiv1907.00923MaRDI QIDQ2042758

Yacin Ameur

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00923

zbMATH Keywords

localizationexternal potentialCoulomb gasdroplet

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Coulomb and Riesz gases: The known and the unknown ⋮ Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials ⋮ The planar low temperature Coulomb gas: separation and equidistribution ⋮ Almost-Hermitian random matrices and bandlimited point processes ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials ⋮ Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background

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