Publications
[CC2] Cafasso, M., & Claeys, T. (2024). Biorthogonal measures, polymer partition functions, and random matrices. arXiv:2401.10130.
[CR] Cafasso, M., & Ruzza, G. (2023). Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process. Journal of the London Mathematical Society, 108(1), 273-308.
[CT] Cafasso, M., & Tarricone, S. (2023). The Riemann-Hilbert approach to the generating function of the higher order Airy point processes. Contemporary Mathematics, 782, 93-109
[CC1] Cafasso, M., & Claeys, T. (2022). A Riemann‐Hilbert Approach to the Lower Tail of the Kardar‐Parisi‐Zhang Equation. Communications on Pure and Applied Mathematics, 75(3), 493-540.
[BCT] Bothner, T., Cafasso, M., & Tarricone, S. (2022). Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel. In Annales de l'Institut Henri Poincare (B) Probabilites et statistiques (Vol. 58, No. 3, pp. 1505-1546). Institut Henri Poincaré.
[CY] Cafasso, M., & Yang, D. (2022). Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method. Journal of Physics A: Mathematical and Theoretical, 55(20), 204001.
[CCR] Cafasso, M., Claeys, T., & Ruzza, G. (2021). Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations. Communications in Mathematical Physics, 386(2), 1107-1153.
[CCG] Cafasso, M., Claeys, T., & Girotti, M. (2021). Fredholm determinant solutions of the Painlevé II hierarchy and gap probabilities of determinantal point processes. International Mathematics Research Notices, 2021(4), 2437-2478.
[CGL] Cafasso, M., Gavrylenko, P., & Lisovyy, O. (2019). Tau functions as Widom constants. Communications in Mathematical Physics, 365, 741-772.
[CW2] Cafasso, M., & Wu, C. Z. (2019). Borodin–Okounkov formula, string equation and topological solutions of Drinfeld–Sokolov hierarchies. Letters in Mathematical Physics, 109(12), 2681-2722.
[CdCDVY] Cafasso, M., du Crest De Villeneuve, A., & Yang, D. (2018). Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 14, 104.
[BCR] Bertola, M., Cafasso, M., & Rubtsov, V. (2018). Noncommutative Painlevé equations and systems of Calogero type. Communications in Mathematical Physics, 363(2), 503-530.
[CdLI2] Cafasso, M., & de La Iglesia, M. D. (2018). The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 14, 076.
[BC7] Bertola, M., & Cafasso, M. (2017). Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Random Matrices: Theory and Applications, 6(03), 1750010.
[BC6] Bertola, M., & Cafasso, M. (2017). The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Communications in Mathematical Physics, 352(2), 585-619.
[BC5] Bertola, M., & Cafasso, M. (2015). Darboux transformations and random point processes. International Mathematics Research Notices, 2015(15), 6211-6266.
[CW1] Cafasso, M., & Wu, C. Z. (2015). Tau functions and the limit of block Toeplitz determinants. International Mathematics Research Notices, 2015(20), 10339-10366.
[CdLI1] Cafasso, M., & de La Iglesia, M. D. (2014). Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials. Communications in Mathematical Physics, 326, 559-583.
[BC4] Bertola, M., & Cafasso, M. (2013). The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Random Matrices: Theory and Applications, 2(02), 1350003.
[ACvM3] Adler, M., Cafasso, M., & Van Moerbeke, P. (2013). Nonlinear PDEs for Fredholm determinants arising from string equations. Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, 593(1).
[ACvM2] Adler, M., Cafasso, M., & Van Moerbeke, P. (2012). Non-linear PDEs for gap probabilities in random matrices and KP theory. Physica D: Nonlinear Phenomena, 241(23-24), 2265-2284.
[BC3] Bertola, M., & Cafasso, M. (2012). Riemann–Hilbert approach to multi-time processes: The Airy and the Pearcey cases. Physica D: Nonlinear Phenomena, 241(23-24), 2237-2245.
[BC2] Bertola, M., & Cafasso, M. (2012). Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Communications in Mathematical Physics, 309(3), 793-833.
[BC1] Bertola, M., & Cafasso, M. (2012). The transition between the gap probabilities from the Pearcey to the Airy process - a Riemann–Hilbert approach. International Mathematics Research Notices, 2012(7), 1519-1568.
[ACvM1] Adler, M., Cafasso, M., & Van Moerbeke, P. (2011). From the Pearcey to the Airy Process. Electronic Journal of Probability, Vol. 16, Paper no. 36, 1048-1064
[MC] Marchal, O., & Cafasso, M. (2011). Double-scaling limits of random matrices and minimal (2m, 1) models: the merging of two cuts in a degenerate case. Journal of Statistical Mechanics: Theory and Experiment, 2011(04), P04013.
[C2] Cafasso, M. (2009). Matrix biorthogonal polynomials on the unit circle and non-abelian Ablowitz–Ladik hierarchy Journal of Physics A: Mathematical and Theoretical, 42(36), 365211.
[C1] Cafasso, M. (2008). Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies Mathematical Physics, Analysis and Geometry, 11(1), 11-51.