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math.PR2016★ 9 cited
Local law and mesoscopic fluctuations of Dyson Brownian motion for general and potential
Jiaoyang Huang, Benjamin Landon
We study Dyson Brownian motion with general potential and for general . For short times and under suitable conditions on we obtain a local law and corr…
math.PR2016
Fixed energy universality for Dyson Brownian motion
Benjamin Landon, Philippe Sosoe, Horng-Tzer Yau
We consider Dyson Brownian motion for classical values of with deterministic initial data . We prove that the local eigenvalue statistics coincide with the GOE/GUE in the fi…