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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 2019Show all

2 papers · 1 filter

math-ph2019★ 21 cited

A Riemann-Hilbert approach to the lower tail of the KPZ equation

Mattia Cafasso, Tom Claeys

Fredholm determinants associated to deformations of the Airy kernel are closely connected to the solution to the Kardar-Parisi-Zhang (KPZ) equation with narrow wedge initial data,…

math-ph2019★ 21 cited

Fredholm determinant solutions of the Painlevé II hierarchy and gap probabilities of determinantal point processes

Mattia Cafasso, Tom Claeys, Manuela Girotti

We study Fredholm determinants of a class of integral operators, whose kernels can be expressed as double contour integrals of a special type. Such Fredholm determinants appear in…