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Structure and Curvatures of Trajectories of a 2D Log-Gas

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DOI: 10.4236/jamp.2014.25005    3,666 Downloads   4,279 Views
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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.

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Pato, M. and Bohigas, O. (2014) Structure and Curvatures of Trajectories of a 2D Log-Gas. Journal of Applied Mathematics and Physics, 2, 32-38. doi: 10.4236/jamp.2014.25005.

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