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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 2016Show all

2 papers · 1 filter

math-ph2016★ 3 cited

Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles

Marco Bertola, Mattia Cafasso

This paper deals with products and ratios of average characteristic polynomials for unitary ensembles. We prove universality at the soft edge of the limiting eigenvalues' density,…

math-ph2016★ 5 cited

The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes' phenomenon

Marco Bertola, Mattia Cafasso

We show that the Kontsevich integral on matrices () is the isomonodromic tau function associated to a Riemann--Hilbert problem. The approach allo…