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20072026
most citedThe transition between the gap probabilities from the Pearcey to the Airy process; a Riemann-Hilbert approach

55 citations · 376 across the 28 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math-ph2013★ 11 cited

The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation

M. Bertola, M. Cafasso

We express the gap probabilities of the tacnode process as the ratio of two Fredholm determinants; the denominator is the standard Tracy-Widom distribution, while the numerator is…

math-ph2013★ 20 cited

Non-commutative Painleve' equations and Hermite-type matrix orthogonal polynomials

Mattia Cafasso, Manuel D. de la Iglesia

We study double integral representations of Christoffel-Darboux kernels associated with two examples of Hermite-type matrix orthogonal polynomials. We show that the Fredholm determ…