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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 2017Show all

3 papers · 1 filter

math-ph2017★ 20 cited

Tau functions as Widom constants

M. Cafasso, P. Gavrylenko, O. Lisovyy

We define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood. The tau…

math-ph2017★ 17 cited

Noncommutative Painlevé equations and systems of Calogero type

Marco Bertola, Mattia Cafasso, Vladimir Roubtsov

All Painlevé equations can be written as a time-dependent Hamiltonian system, and as such they admit a natural generalization to the case of several particles with an interaction o…

math-ph2017★ 1 cited

Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials

Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang

For a simple Lie algebra and an irreducible faithful representation of , we introduce the Schur polynomials of -type. We then der…