Law of large numbers for the maximum of the two-dimensional Coulomb gas potential

Gaultier Lambert; Thomas Leblé; Ofer Zeitouni

doi:10.1214/24-EJP1102

Law of large numbers for the maximum of the two-dimensional Coulomb gas potential

Gaultier Lambert
, Thomas Leblé
, Ofer Zeitouni

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos.

langue originale	Anglais
Numéro d'article	42
journal	Electronic Journal of Probability
Volume	29
Les DOIs	https://doi.org/10.1214/24-EJP1102
état	Publié - 1 janv. 2024

Accès au document

10.1214/24-EJP1102

Contient cette citation

@article{d65ff904326342f29f4604e57363724b,

title = "Law of large numbers for the maximum of the two-dimensional Coulomb gas potential",

abstract = "We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos.",

keywords = "Coulomb Gas, Gaussian Multiplicative Chaos, log-correlated fields",

author = "Gaultier Lambert and Thomas Lebl{\'e} and Ofer Zeitouni",

year = "2024",

month = jan,

day = "1",

doi = "10.1214/24-EJP1102",

language = "English",

volume = "29",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

}

TY - JOUR

T1 - Law of large numbers for the maximum of the two-dimensional Coulomb gas potential

AU - Lambert, Gaultier

AU - Leblé, Thomas

AU - Zeitouni, Ofer

PY - 2024/1/1

Y1 - 2024/1/1

N2 - We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos.

AB - We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos.

KW - Coulomb Gas

KW - Gaussian Multiplicative Chaos

KW - log-correlated fields

U2 - 10.1214/24-EJP1102

DO - 10.1214/24-EJP1102

M3 - Article

AN - SCOPUS:85187899726

SN - 1083-6489

VL - 29

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 42

ER -

Law of large numbers for the maximum of the two-dimensional Coulomb gas potential

Résumé

Accès au document

Empreinte digitale

Contient cette citation