Structure and curvatures of trajectories of a 2D log-gas（1）
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Structure and curvatures of trajectories of a 2D log-gas（1）
2014 Spring World Congress on Engineering and Technology (SCET 2014)——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.
Guests ：
A.P. Mauricio Pato
Keyword ：
曲率 轨迹 对数气体 柯西分布Year：2014
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