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math.PR2014★ 23 cited
From Sine kernel to Poisson statistics
Romain Allez, Laure Dumaz
We study the Sine process introduced in [B. Valkó and B. Virág. Invent. math. (2009)] when the inverse temperature tends to 0. This point process has been shown to be the s…
math.PR2014★ 3 cited
Random matrices in non-confining potentials
Romain Allez, Laure Dumaz
We consider invariant matrix processes diffusing in non-confining cubic potentials of the form . We construct the trajectories of such process…