Edit Profile (opens in new tab) Cafasso, Mattia Compute Distance To: Compute Author ID: cafasso.mattia Published as: Cafasso, Mattia; Cafasso, M. Homepage: https://sites.google.com/site/mattiacafasso/ External Links: MGP Documents Indexed: 22 Publications since 2008 Reviewing Activity: 1 Review Co-Authors: 13 Co-Authors with 20 Joint Publications 227 Co-Co-Authors all top 5 Co-Authors 2 single-authored 8 Bertola, Marco 3 Adler, Mark 3 Claeys, Tom 3 van Moerbeke, Pierre 2 Domínguez de la Iglesia, Manuel 2 Wu, Chaozhong 1 du Crest de Villeneuve, Ann 1 Gavrylenko, Pavlo 1 Girotti, Manuela 1 Lisovyy, Oleg 1 Rubtsov, Vladimir Nikolaevich 1 Ruzza, Giulio 1 Yang, Di all top 5 Serials 6 Communications in Mathematical Physics 4 IMRN. International Mathematics Research Notices 2 Physica D 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Random Matrices: Theory and Applications 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Electronic Journal of Probability 1 Mathematical Physics, Analysis and Geometry 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 11 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 132 times in 92 Documents Cited by ▼ Year ▼ The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005Bertola, M.; Cafasso, M. 24 2012 Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082Bertola, M.; Cafasso, M. 15 2012 From the Pearcey to the Airy process. Zbl 1231.60107Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 11 2011 Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171Bertola, M.; Cafasso, M. 9 2012 Matrix biorthogonal polynomials on the unit circle and non-abelian Ablowitz-Ladik hierarchy. Zbl 1180.37089Cafasso, Mattia 8 2009 Tau functions and the limit of block Toeplitz determinants. Zbl 1338.37083Cafasso, Mattia; Wu, Chao-Zhong 8 2015 Tau functions as Widom constants. Zbl 1417.37245Cafasso, M.; Gavrylenko, P.; Lisovyy, O. 8 2019 Darboux transformations and random point processes. Zbl 1333.60097Bertola, Marco; Cafasso, Mattia 6 2015 The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154Bertola, M.; Cafasso, M. 6 2013 Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies. Zbl 1163.37022Cafasso, M. 6 2008 Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092Bertola, M.; Cafasso, M.; Rubtsov, V. 6 2018 Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies. Zbl 1436.37084Cafasso, Mattia; Wu, Chao-Zhong 6 2019 The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044Bertola, M.; Cafasso, M. 4 2017 Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials. Zbl 1357.81108Cafasso, Mattia; de la Iglesia, Manuel D. 3 2014 Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 3 2013 Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205Adler, M.; Cafasso, M.; Van Moerbeke, P. 2 2012 The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type. Zbl 1396.34056Cafasso, Mattia; de la Iglesia, Manuel D. 2 2018 Fredholm determinant solutions of the Painlevé. II: Hierarchy and gap probabilities of determinantal point processes. Zbl 07381532Cafasso, Mattia; Claeys, Tom; Girotti, Manuela 2 2021 Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022Bertola, M.; Cafasso, M. 1 2017 Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials. Zbl 1408.37124Cafasso, Mattia; du Crest de Villeneuve, Ann; Yang, Di 1 2018 A Riemann-Hilbert approach to the lower tail of the Kardar-Parisi-Zhang equation. Zbl 07513412Cafasso, Mattia; Claeys, Tom 1 2022 A Riemann-Hilbert approach to the lower tail of the Kardar-Parisi-Zhang equation. Zbl 07513412Cafasso, Mattia; Claeys, Tom 1 2022 Fredholm determinant solutions of the Painlevé. II: Hierarchy and gap probabilities of determinantal point processes. Zbl 07381532Cafasso, Mattia; Claeys, Tom; Girotti, Manuela 2 2021 Tau functions as Widom constants. Zbl 1417.37245Cafasso, M.; Gavrylenko, P.; Lisovyy, O. 8 2019 Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies. Zbl 1436.37084Cafasso, Mattia; Wu, Chao-Zhong 6 2019 Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092Bertola, M.; Cafasso, M.; Rubtsov, V. 6 2018 The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type. Zbl 1396.34056Cafasso, Mattia; de la Iglesia, Manuel D. 2 2018 Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials. Zbl 1408.37124Cafasso, Mattia; du Crest de Villeneuve, Ann; Yang, Di 1 2018 The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044Bertola, M.; Cafasso, M. 4 2017 Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022Bertola, M.; Cafasso, M. 1 2017 Tau functions and the limit of block Toeplitz determinants. Zbl 1338.37083Cafasso, Mattia; Wu, Chao-Zhong 8 2015 Darboux transformations and random point processes. Zbl 1333.60097Bertola, Marco; Cafasso, Mattia 6 2015 Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials. Zbl 1357.81108Cafasso, Mattia; de la Iglesia, Manuel D. 3 2014 The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154Bertola, M.; Cafasso, M. 6 2013 Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 3 2013 The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005Bertola, M.; Cafasso, M. 24 2012 Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082Bertola, M.; Cafasso, M. 15 2012 Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171Bertola, M.; Cafasso, M. 9 2012 Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205Adler, M.; Cafasso, M.; Van Moerbeke, P. 2 2012 From the Pearcey to the Airy process. Zbl 1231.60107Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 11 2011 Matrix biorthogonal polynomials on the unit circle and non-abelian Ablowitz-Ladik hierarchy. Zbl 1180.37089Cafasso, Mattia 8 2009 Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies. Zbl 1163.37022Cafasso, M. 6 2008 all cited Publications top 5 cited Publications all top 5 Cited by 133 Authors 15 Bertola, Marco 13 Cafasso, Mattia 5 Adler, Mark 5 van Moerbeke, Pierre 5 Yang, Di 4 Gavrylenko, Pavlo 4 Mañas, Manuel 4 Ruzza, Giulio 4 Wu, Chaozhong 3 Charlier, Christophe 3 Dubrovin, Boris Anatol’evich 3 Grava, Tamara 3 Lisovyy, Oleg 2 Álvarez-Fernández, Carlos 2 Baik, Jinho 2 Brini, Andrea 2 Carlet, Guido 2 Dai, Dan 2 Desiraju, Harini 2 Domínguez de la Iglesia, Manuel 2 Dung, Dao Van 2 Girotti, Manuela 2 Gisonni, Massimo 2 Hoa, Le Kha 2 Iorgov, Nikolai 2 Johansson, Kurt 2 Kuijlaars, Arno B. J. 2 Lenells, Jonatan 2 Marchal, Olivier 2 Mauersberger, Julian 2 Orantin, Nicolas 2 Rossi, Paolo 2 Rubtsov, Vladimir Nikolaevich 2 Xu, Shuaixia 2 Zhang, Lun 2 Zotov, Andrei V. 1 Argyres, Philip C. 1 Ariznabarreta, Gerardo 1 Balogh, Ferenc N. 1 Belitsky, Andrei V. 1 Berezin, Sergey 1 Błaszak, Maciej 1 Bonelli, Giulio 1 Bothner, Thomas 1 Branquinho, Amílcar José Pinto Lopes 1 Buckingham, Robert J. 1 Capitaine, Mireille 1 Chalykh, Oleg A. 1 Chekhov, Leonid O. 1 Claeys, Tom 1 Curto, Raúl Enrique 1 de Franciscis, Sebastiano 1 Deift, Percy A. 1 Del Monte, Fabrizio 1 Delépine, Jonathan 1 Delvaux, Steven 1 Doeraene, Antoine 1 Dominici, Diego Ernesto 1 Domrin, Andrei Victorovich 1 d’Onofrio, Alberto 1 Dorofeyskaya, N. V. 1 du Crest de Villeneuve, Ann 1 Duits, Maurice 1 Elias Rebelo, José Gustavo 1 Erdős, László 1 Ferrari, Patrik Lino 1 Forrester, Peter J. 1 Foulquié Moreno, Ana Pilar 1 Gekhtman, Mikhaèl I. 1 Grekov, A. M. 1 Hachem, Walid 1 Hardy, Adrien 1 He, Weiqiang 1 Hernández-del-Valle, Gerardo 1 Hoai, Bui Thi Thu 1 Huang, Hui 1 Hwang, In Sung 1 Its, Alexander Rudolfovich 1 Iwaki, Kohei 1 Jia, Wantao 1 Katsevich, Alexander I. 1 Ke, Huazhong 1 Krasovsky, Igor V. 1 Krüger, Torben 1 Lee, Woo Young 1 Levin, Andrey M. 1 Li, Yongge 1 Liechty, Karl 1 Liu, Di 1 Liu, Siqi 1 Liu, Zhipeng 1 Lü, Yongchao 1 Luu, Martin T. 1 Ma, Wen-Xiu 1 Mangazeev, Vladimir V. 1 Marciniak, Krzysztof 1 Mazzocco, Marta 1 Milanov, Todor E. 1 Miller, Peter D. 1 Mobasheramini, Fatane ...and 33 more Authors all top 5 Cited in 38 Serials 14 Communications in Mathematical Physics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Advances in Mathematics 6 Letters in Mathematical Physics 6 Physica D 4 Random Matrices: Theory and Applications 3 Journal of Mathematical Physics 3 Journal of High Energy Physics 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Journal of Geometry and Physics 2 Probability Theory and Related Fields 2 The Annals of Applied Probability 2 Nonlinear Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 1 Acta Mechanica 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 The Annals of Probability 1 Journal of Approximation Theory 1 Meccanica 1 Constructive Approximation 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Moscow Mathematical Journal 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 29 Fields 36 Dynamical systems and ergodic theory (37-XX) 31 Probability theory and stochastic processes (60-XX) 23 Special functions (33-XX) 22 Ordinary differential equations (34-XX) 19 Quantum theory (81-XX) 17 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Algebraic geometry (14-XX) 9 Nonassociative rings and algebras (17-XX) 8 Operator theory (47-XX) 6 Functions of a complex variable (30-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX) Citations by Year