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.


关键词: 曲率 轨迹 对数气体 柯西分布 2014 Spring World Congress on Engineering and Technology (SCET 2014)

主讲人:A.P. Mauricio Pato 机构:Universidade de Sao Paulo, Brazil

时长:0:13:57 年代:2014年