258 citations
- Laboratoire Angevin de Recherche en MathématiquesFR198 papers
- Centre National de la Recherche ScientifiqueFR127 papers
- Institut des Sciences et Technologies Moléculaires d'AngersFR31 papers
- Sorbonne UniversitéFR17 papers
- Wrocław University of Science and TechnologyPL17 papers
- Institut de Mathématiques de ToulouseFR13 papers
- Institute for Theoretical and Experimental PhysicsRU12 papers
- Université Paris-SaclayFR12 papers
- Université Toulouse III - Paul SabatierFR12 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO10 papers
- Institut d'électronique de microélectronique et de nanotechnologieFR10 papers
- Université Nantes Angers Le MansFR10 papers
Showing 2016 · math-phShow all
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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…