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 | 60* | 2012 |
A Riemann‐Hilbert Approach to the Lower Tail of the Kardar‐Parisi‐Zhang Equation M Cafasso, T Claeys Communications on Pure and Applied Mathematics 75 (3), 493-540, 2022 | 45* | 2022 |
Tau functions as Widom constants M Cafasso, P Gavrylenko, O Lisovyy Communications in Mathematical Physics 365, 741-772, 2019 | 29 | 2019 |
Noncommutative Painlevé equations and systems of Calogero type M Bertola, M Cafasso, V Rubtsov Communications in Mathematical Physics 363 (2), 503-530, 2018 | 29 | 2018 |
Fredholm determinant solutions of the Painlevé II hierarchy and gap probabilities of determinantal point processes M Cafasso, T Claeys, M Girotti International Mathematics Research Notices 2021 (4), 2437-2478, 2021 | 28 | 2021 |
Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation M Bertola, M Cafasso Communications in Mathematical Physics 309 (3), 793-833, 2012 | 28 | 2012 |
Matrix biorthogonal polynomials on the unit circle and non-abelian Ablowitz–Ladik hierarchy M Cafasso Journal of Physics A: Mathematical and Theoretical 42 (36), 365211, 2009 | 26 | 2009 |
Nonlinear PDEs for gap probabilities in random matrices and KP theory M Adler, M Cafasso, P van Moerbeke Physica D: Nonlinear Phenomena, 2012 | 25* | 2012 |
Riemann–Hilbert approach to multi-time processes: The Airy and the Pearcey cases M Bertola, M Cafasso Physica D: Nonlinear Phenomena 241 (23-24), 2237-2245, 2012 | 24 | 2012 |
From the Pearcey to the Airy Process. M Adler, M Cafasso, P Van Moerbeke | 23 | 2011 |
Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations M Cafasso, T Claeys, G Ruzza Communications in Mathematical Physics 386 (2), 1107-1153, 2021 | 22 | 2021 |
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel T Bothner, M Cafasso, S Tarricone Annales de l'Institut Henri Poincare (B) Probabilites et statistiques 58 (3 …, 2022 | 20 | 2022 |
Tau functions and the limit of block Toeplitz determinants M Cafasso, CZ Wu International Mathematics Research Notices 2015 (20), 10339-10366, 2015 | 18 | 2015 |
Darboux transformations and random point processes M Bertola, M Cafasso International Mathematics Research Notices 2015 (15), 6211-6266, 2015 | 18 | 2015 |
Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials M Cafasso, MD de La Iglesia Communications in Mathematical Physics 326, 559-583, 2014 | 18 | 2014 |
The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation M Bertola, M Cafasso Random Matrices: Theory and Applications 2 (02), 1350003, 2013 | 18 | 2013 |
Borodin–Okounkov formula, string equation and topological solutions of Drinfeld–Sokolov hierarchies M Cafasso, CZ Wu Letters in Mathematical Physics 109 (12), 2681-2722, 2019 | 17 | 2019 |
Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies M Cafasso Mathematical Physics, Analysis and Geometry 11 (1), 11-51, 2008 | 14 | 2008 |
Double scaling limits of random matrices and minimal (2m, 1) models: the merging of two cuts in a degenerate case M Cafasso, O Marchal J. Stat. Mech. P 4013, 2011 | 11* | 2011 |
The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type M Cafasso, MD De La Iglesia SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 076, 2018 | 8 | 2018 |