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Pato, M.P., Bohigas, O. and de Carvalho, J.X. (2013) Proc. of the 4th Interational Interdisciplinary Chaos Symposium, Springer-Verlag.

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.