| Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the tritronquée solution to Painlevé I M Bertola, A Tovbis Communications on Pure and Applied Mathematics 66 (5), 678-752, 2013 | 177 | 2013 |
| Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation A Tikan, C Billet, G El, A Tovbis, M Bertola, T Sylvestre, F Gustave, ... Physical review letters 119 (3), 033901, 2017 | 131 | 2017 |
| Duality, Biorthogonal Polynomials¶ and Multi-Matrix Models M Bertola, B Eynard, J Harnad Communications in mathematical physics 229, 73-120, 2002 | 114 | 2002 |
| Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann–Hilbert problem M Bertola, B Eynard, J Harnad Communications in mathematical physics 243, 193-240, 2003 | 89 | 2003 |
| Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions M Bertola, B Eynard, J Harnad Communications in mathematical physics 263 (2), 401-437, 2006 | 71 | 2006 |
| Cauchy biorthogonal polynomials M Bertola, M Gekhtman, J Szmigielski Journal of Approximation Theory 162 (4), 832-867, 2010 | 65 | 2010 |
| Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯ g, n M Bertola, B Dubrovin, D Yang Physica D: Nonlinear Phenomena 327, 30-57, 2016 | 64 | 2016 |
| The Cauchy two-matrix model M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 287 (3), 983-1014, 2009 | 64 | 2009 |
| The dependence on the monodromy data of the isomonodromic tau function M Bertola Communications in Mathematical Physics 294 (2), 539-579, 2010 | 62 | 2010 |
| Cauchy–Laguerre two-matrix model and the Meijer-G random point field M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 326, 111-144, 2014 | 60 | 2014 |
| Partition functions for matrix models and isomonodromic tau functions M Bertola, B Eynard, J Harnad Journal of Physics A: Mathematical and General 36 (12), 3067, 2003 | 58 | 2003 |
| The transition between the gap probabilities from the Pearcey to the Airy process—a Riemann–Hilbert approach M Bertola, M Cafasso International Mathematics Research Notices 2012 (7), 1519-1568, 2012 | 53 | 2012 |
| Frobenius manifold structure on orbit space of Jacobi groups; Part I M Bertola Differential Geometry and its Applications 13 (1), 19-41, 2000 | 51 | 2000 |
| Frobenius manifold structure on orbit space of Jacobi groups; Part I M Bertola Differential Geometry and its Applications 13 (1), 19-41, 2000 | 51 | 2000 |
| Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane F Balogh, M Bertola, SY Lee, KDTR Mclaughlin Communications on Pure and Applied Mathematics 68 (1), 112-172, 2015 | 50 | 2015 |
| Free energy of the two-matrix model/dToda tau-function M Bertola Nuclear Physics B 669 (3), 435-461, 2003 | 49 | 2003 |
| Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation M Bertola, GA El, A Tovbis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 47 | 2016 |
| Boutroux curves with external field: equilibrium measures without a variational problem M Bertola Analysis and Mathematical Physics 1 (2), 167-211, 2011 | 45 | 2011 |
| Zeros of large degree Vorob’ev–Yablonski polynomials via a Hankel determinant identity M Bertola, T Bothner International Mathematics Research Notices 2015 (19), 9330-9399, 2015 | 40 | 2015 |
| Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights M Bertola, MY Mo Advances in Mathematics 220 (1), 154-218, 2009 | 40 | 2009 |
J. HarnadDirector, Mathematical Physics Laboratory, Centre de recherches mathématiquesAdresse e-mail validée de crm.umontreal.ca
