Abstract
Let
Our results have implications for interacting particle systems. The edge scaling limit of the law of real eigenvalues for the real Ginibre ensemble is a rescaling of a fixed time distribution of annihilating Brownian motions (ABMs) with the step initial condition; see [Garrod, Poplavskyi, Tribe and Zaboronski (2015)]. Therefore, the tail behaviour of the distribution of
Citation
Mihail Poplavskyi. Roger Tribe. Oleg Zaboronski. "On the distribution of the largest real eigenvalue for the real Ginibre ensemble." Ann. Appl. Probab. 27 (3) 1395 - 1413, June 2017. https://doi.org/10.1214/16-AAP1233
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