The Maximum of the CUE Field

Article Properties
  • Language
    English
  • Publication Date
    2017/03/08
  • Indian UGC (journal)
  • Refrences
    33
  • Citations
    45
  • Elliot Paquette Department of Mathematics, Ohio State University, USA
  • Ofer Zeitouni Department of Mathematics, Weizmann Institute of Science, Israel and Courant institute, NYU, USA
Refrences
Title Journal Journal Categories Citations Publication Date
Maximum of the Characteristic Polynomial of Random Unitary Matrices Communications in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
72 2017
Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field

Communications on Pure and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
66 2016
“Maximum of a log-correlated Gaussian field.” 2015
“Convergence in law of the minimum of a branching random walk.” 2013
“Minima in branching random walks.” 2009
Refrences Analysis
The category Science: Mathematics 2 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Journal of Statistical Physics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Extremal statistics of quadratic forms of GOE/GUE eigenvectors The Annals of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2024
Law of large numbers for the maximum of the two-dimensional Coulomb gas potential Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2024
Multiscale Coupling and the Maximum of $${\mathcal {P}}(\phi )_2$$ Models on the Torus

Communications in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2023
A CLT for the characteristic polynomial of random Jacobi matrices, and the G$$\beta $$E Probability Theory and Related Fields
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2 2023
On the moments of moments of random matrices and Ehrhart polynomials Advances in Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 39 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Linear statistics of the circular $\beta $-ensemble, Stein’s method, and circular Dyson Brownian motion and was published in 2016. The most recent citation comes from a 2024 study titled Law of large numbers for the maximum of the two-dimensional Coulomb gas potential. This article reached its peak citation in 2020, with 12 citations. It has been cited in 22 different journals. Among related journals, the The Annals of Probability cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year