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has been cited by the following article:
TITLE: Structure and Curvatures of Trajectories of a 2D Log-Gas
AUTHORS: M. P. Pato, O. Bohigas
KEYWORDS: Statistical Mechanics, Random Matrix Theory, Quantum Hall Effect
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.5, April 24, 2014
ABSTRACT: A model is constructed to study the statistical properties of irregular trajectories of a log-gas whose positions are those of the complex eigenvalues of the unitary Ginibre ensemble. It is shown that statistically the trajectories form a structure that reveals the eigenvalue departure positions. It is also shown that the curvatures of the ensemble of trajectories are Cauchy distributed.