{"id":45,"date":"2026-01-16T17:04:53","date_gmt":"2026-01-16T16:04:53","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/?page_id=45"},"modified":"2026-02-25T13:56:24","modified_gmt":"2026-02-25T12:56:24","slug":"articles","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/articles\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<div class=\"wp-block-group has-small-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-medium-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Here is the list of my publications (so far).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00ab\u00a0Orthogonal polynomials and discrete Painlev\u00e9 equations: theory and applications\u00a0\u00bb,<br>To appear in <em>Lecture notes of <a href=\"https:\/\/side15.unimi.it\/aside15\/\" data-type=\"link\" data-id=\"https:\/\/side15.unimi.it\/aside15\/\">ASIDE15<\/a><\/em>, AMS Special Edition.<\/li>\n\n\n\n<li>\u00ab\u00a0J\u00e1nossy densities and Darboux transformations for the Stark and cylindrical KdV<br>equations\u00a0\u00bb, with Tom CLAEYS, Gabriel GLESNER, Giulio RUZZA. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00220-024-04988-7\">Communications in Mathematical Physics, 405 (113), 2024.<\/a><\/li>\n\n\n\n<li>\u00ab\u00a0On the integrable structure of deformed sine kernel determinants\u00a0\u00bb, with Tom CLAEYS. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11040-024-09476-x\" data-type=\"link\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s11040-024-09476-x\">Mathematical Physics, Analysis and Geometry, 27:3, 2024.<\/a><\/li>\n\n\n\n<li> \u00ab\u00a0Recursion relation for Toeplitz determinants and the discrete Painlev\u00e9 II hierarchy\u00a0\u00bb,<br>with Thomas CHOUTEAU. <a href=\"https:\/\/sigma-journal.com\/2023\/030\/sigma23-030.pdf\" data-type=\"link\" data-id=\"https:\/\/sigma-journal.com\/2023\/030\/sigma23-030.pdf\">SIGMA. 19 (2023) 030. Special Issue on Evolution Equations, Exactly Solvable Models and Random Matrices in honor of Alexander Its\u2019 70th birthday.<\/a><\/li>\n\n\n\n<li>\u00ab\u00a0The Riemann-Hilbert approach to the generating function for the higher order Airy<br>point processes\u00a0\u00bb, with Mattia CAFASSO. <a href=\"https:\/\/bookstore.ams.org\/view?ProductCode=CONM\/782\" data-type=\"link\" data-id=\"https:\/\/bookstore.ams.org\/view?ProductCode=CONM\/782\">Recent Trends in Formal and Analytic Solutions of Diff. Equations, Contemporary Mathematics, vol. 782, Amer. Math. Soc., pp. 93-109, 2023.<\/a><\/li>\n\n\n\n<li>\u00ab\u00a0Stokes manifolds and cluster algebras\u00a0\u00bb, with Marco BERTOLA. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00220-021-04293-7\">Communications in Mathematical Physics 390, pp. 1413\u20131457, 2022.<\/a><\/li>\n\n\n\n<li>\u00ab\u00a0Momenta spacing distributions in anharmonic oscillators and the higher order finite<br>temperature Airy kernel\u00a0\u00bb, with Thomas BOTHNER and Mattia CAFASSO. <a href=\"https:\/\/projecteuclid.org\/journals\/annales-de-linstitut-henri-poincare-probabilites-et-statistiques\/volume-58\/issue-3\/Momenta-spacing-distributions-in-anharmonic-oscillators-and-the-higher-order\/10.1214\/21-AIHP1211.full\">Annales de l\u2019Institut Henri Poincar\u00e9 B 58(3), pp. 1505-1546, 2022.<\/a><\/li>\n\n\n\n<li>\u00ab\u00a0A fully noncommutative Painlev\u00e9 II hierarchy: Lax pair and solutions related to Fredholm determinants\u00a0\u00bb. <a href=\"https:\/\/sigma-journal.com\/2021\/002\/\">SIGMA 17 (2021) 002.<\/a><\/li>\n<\/ul>\n\n\n\n<p>My PhD thesis \u00ab\u00a0The Painlev\u00e9 II hierarchy : geometry and applications\u00a0\u00bb can be found <a href=\"https:\/\/theses.fr\/2021ANGE0027\" data-type=\"link\" data-id=\"https:\/\/theses.fr\/2021ANGE0027\">here<\/a>.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here is the list of my publications (so far). My PhD thesis \u00ab\u00a0The Painlev\u00e9 II hierarchy : geometry and applications\u00a0\u00bb can be found here.<\/p>\n","protected":false},"author":139,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-45","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/pages\/45","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/users\/139"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/comments?post=45"}],"version-history":[{"count":8,"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/pages\/45\/revisions"}],"predecessor-version":[{"id":85,"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/pages\/45\/revisions\/85"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/sofia-tarricone\/wp-json\/wp\/v2\/media?parent=45"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}