Multi-critical unitary random matrix ensembles and the general Painlevé II equation T Claeys, ABJ Kuijlaars, M Vanlessen Annals of Mathematics, 601-641, 2008 | 107 | 2008 |

Universality of the double scaling limit in random matrix models T Claeys, ABJ Kuijlaars Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2006 | 95 | 2006 |

Higher‐order analogues of the Tracy‐Widom distribution and the Painlevé II hierarchy T Claeys, I Krasovsky, A Its Communications on pure and applied mathematics 63 (3), 362-412, 2010 | 76 | 2010 |

Toeplitz determinants with merging singularities T Claeys, I Krasovsky | 74 | 2015 |

Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach T Claeys, T Grava Communications in mathematical physics 286 (3), 979-1009, 2009 | 72 | 2009 |

Universality of a double scaling limit near singular edge points in random matrix models T Claeys, M Vanlessen Communications in mathematical physics 273 (2), 499-532, 2007 | 71 | 2007 |

How much can the eigenvalues of a random Hermitian matrix fluctuate? T Claeys, B Fahs, G Lambert, C Webb Duke Mathematical Journal 170 (9), 2085-2235, 2021 | 58 | 2021 |

The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation T Claeys, M Vanlessen Nonlinearity 20 (5), 1163, 2007 | 54 | 2007 |

Emergence of a singularity for Toeplitz determinants and Painlevé V T Claeys, A Its, I Krasovsky | 52 | 2011 |

Biorthogonal ensembles with two-particle interactions T Claeys, S Romano arXiv preprint arXiv:1312.2892, 2013 | 49 | 2013 |

Universality in unitary random matrix ensembles when the soft edge meets the hard edge T Claeys, ABJ Kuijlaars Contemporary Mathematics 458, 265-280, 2008 | 45 | 2008 |

Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge A Bogatskiy, T Claeys, A Its Communications in Mathematical Physics 347, 127-162, 2016 | 44 | 2016 |

Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg—de Vries equation in the small‐dispersion limit T Claeys, T Grava Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2010 | 44 | 2010 |

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit T Claeys, T Grava SIAM Journal on Mathematical Analysis 42 (5), 2132-2154, 2010 | 43 | 2010 |

Thinning and conditioning of the circular unitary ensemble C Charlier, T Claeys Random Matrices: Theory and Applications 6 (02), 1750007, 2017 | 39* | 2017 |

Birth of a cut in unitary random matrix ensembles T Claeys International mathematics research notices 2008 (9), rnm166-rnm166, 2008 | 36 | 2008 |

The generating function for the Airy point process and a system of coupled Painlevé II equations T Claeys, A Doeraene Studies in Applied Mathematics 140 (4), 403-437, 2018 | 33 | 2018 |

Large gap asymptotics for Airy kernel determinants with discontinuities C Charlier, T Claeys Communications in Mathematical Physics 375 (2), 1299-1339, 2020 | 32 | 2020 |

Random matrices with equispaced external source T Claeys, D Wang Communications in Mathematical Physics 328, 1023-1077, 2014 | 31 | 2014 |

Random matrix ensembles with singularities and a hierarchy of Painlevé III equations MR Atkin, T Claeys, F Mezzadri International Mathematics Research Notices 2016 (8), 2320-2375, 2016 | 30 | 2016 |