55 citations · 376 across the 28 of their papers we have counts for
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math.PR2010★ 19 cited
From the Pearcey to the Airy process
Mark Adler, Mattia Cafasso, Pierre van Moerbeke
Putting dynamics into random matrix models leads to finitely many nonintersecting Brownian motions on the real line for the eigenvalues, as was discovered by Dyson. Applying scalin…
math-ph2010★ 55 cited
The transition between the gap probabilities from the Pearcey to the Airy process; a Riemann-Hilbert approach
M. Bertola, M. Cafasso
We consider the gap probability for the Pearcey and Airy processes; we set up a Riemann--Hilbert approach (different from the standard one) whereby the asymptotic analysis for larg…
math-ph2010★ 8 cited
Double scaling limits of random matrices and minimal (2m,1) models: the merging of two cuts in a degenerate case
Olivier Marchal, Mattia Cafasso
In this article, we show that the double scaling limit correlation functions of a random matrix model when two cuts merge with degeneracy (i.e. when for arbitra…