{"id":147778,"date":"2025-05-12T14:03:28","date_gmt":"2025-05-12T14:03:28","guid":{"rendered":"https:\/\/www.unipi.it\/ateneo\/organizzazione\/persone\/stefano-galatolo-413-en\/"},"modified":"2026-04-01T04:40:16","modified_gmt":"2026-04-01T02:40:16","slug":"stefano-galatolo-413-en","status":"publish","type":"unipi_persone","link":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/","title":{"rendered":"Stefano Galatolo"},"content":{"rendered":"<p>Professore Associato &#8211; Dipartimento di Matematica | Tel.: 0502212111 &#8211; Email: stefano.galatolo@unipi.it<\/p>\n","protected":false},"template":"","meta":{"unipi-persone-chiave":"413","unipi-persone-nome":"Stefano","unipi-persone-cognome":"Galatolo","unipi-persone-email":"stefano.galatolo@unipi.it","unipi-persone-cv":"Current position.<br \/>\r\n<br \/>\r\nSince may 2015: Associate Professor at Department of Mathematics, University of Pisa.<br \/>\r\n  <br \/>\r\n<br \/>\r\nEducation, habilitation.<br \/>\r\n<br \/>\r\n2014: Italian National habilitation for the position of full professor in Mathematical analysis.<br \/>\r\n2018: Italian National habilitation for the position of full professor in Mathematical analysis.\t<br \/>\r\n<br \/>\r\nInstitutional, editor responsabilities.<br \/>\r\n&#9658; Since 2014 Section Editor for Journal of Fixed Point Theory and Applications (Springer-Birkh\u00e4user Basel)<br \/>\r\n&#9658; Since 2023  Section editor for Chaos Solitons and Fractals (Elsevier)<br \/>\r\n2020-2023  IOP SciNotes editorial board member (Mathematics and Computation)<br \/>\r\nSince 2021: Scientific committee  of  Istituto di Ricerca sul Territorio e l\u2019Ambiente \u2013 \u201cLeonardo\u201d (Leonardo-IRTA),<br \/>\r\n&#9658; Since fall 2023:  Chair for Climate Change Knowledge Hub.Circle U  european universitiy alliance<br \/>\r\n2024: guest editor for the special issue \u201cNonautonomous Dynamics in the Climate Sciences\u201d for the journal Chaos (AIP Publishing).<br \/>\r\n&#9658; Since November 2024: Director of Centro Interdipartimentale per lo Studio dei Sistemi Complessi (Interdepartmental centre for the study of complex systems, Univ. Pisa)<br \/>\r\n&#9658; Since 2025 Section Board Member for the section 'Complexity' of the journal Entropy (MDPI)<br \/>\r\n<br \/>\r\nTeaching\tI have experience in teaching: <br \/>\r\n     Linear Algebra (first year, engineering students)<br \/>\r\n     Analysis I (first year, engineering students)<br \/>\r\n     Analysis II (first year or second year, engineering students)<br \/>\r\n     Elements of probability (engineering students)<br \/>\r\n     Ergodic Theory, random and deterministic dynamics (advanced courses for mathematics students or phd in applied sciences)<br \/>\r\n<br \/>\r\n<br \/>\r\nVisiting Positions\t      April 2008: Professeur invit\u00e8 at Ecole Normale Superieure Paris, dept. of computer science (Fr)<br \/>\r\n      April 2009: Professeur invit\u00e8 at Universit\u00e9 Bretagne Occidentale, Laboratoire de Mathematique (Fr)<br \/>\r\n      July 2010: Professeur invit\u00e8 at Universit\u00e9 Bretagne Occidentale, Laboratoire de Mathematique (Fr)<br \/>\r\n      August 2010: Visiting researcher. IMPA, Rio de Janeiro (Br)<br \/>\r\n      July 2012: Professeur invit\u00e8 at Universit\u00e9 Bretagne Occidentale, Laboratoire de Mathematique (Fr)<br \/>\r\n      October 2013: Visiting Researcher. Newton Institute, Cambridge (UK)<br \/>\r\n      April 2016: Visiting Researcher. ICERM, Brown University (USA)<br \/>\r\n      Nov 2023-Nov-2024: Visiting Researcher University of North Texas (USA)<br \/>\r\n      March 2025: Professeur invit\u00e8 at Universit\u00e9 Lumi\u00e8re Lyon 2  (Fr) <br \/>\r\n<br \/>\r\n<br \/>\r\nAwards\t2025 :  Qin-Jiu-Shao Lecture 2025<br \/>\r\n<br \/>\r\nNon-Academic Professional Experience\t<br \/>\r\n2005 :  Court-Appointed Technical Consultancy.  Provided expert advice in an arbitration case involving probabilistic and market analysis. <br \/>\r\n2025 :  Collaboration with Palliora ( https:\/\/palliora.org\/ , read the whitepaper at            https:\/\/palliora.org\/whitepaper ).","unipi-persone-link-esterno-cv":"http:\/\/users.dma.unipi.it\/galatolo\/ecv_Galatolo2025.pdf","unipi-persone-modalita-ricevimento":"\r\nGiovedi alle 11, in caso di dubbio contattatemi per email.\r\n\r\n\r\n\r\n","unipi-persone-luogo-ricevimento":"","unipi-persone-ore-ricevimento":"","unipi-persone-telefono":"0502212111","unipi-persone-sitoweb":"http:\/\/users.dma.unipi.it\/galatolo\/","unipi-persone-cariche":"<ul><li>Direttore di Centro - Centro Interdipartimentale per lo Studio dei Sistemi Complessi (c.i.s.s.c.)<\/li><\/ul>","unipi-persone-link-orario-lezioni":"https:\/\/unipi.prod.up.cineca.it\/calendarioPubblico\/matricola=080288","unipi-persone-link-registro-lezioni":"https:\/\/unimap.unipi.it\/registri\/registri.php?ri=080288&tmplt=principale.tpl","unipi-persone-settore-scientifico":"Analisi Matematica MATH-03\/A","unipi-persone-ruolo":"Professore Associato","unipi-persone-arpi":"https:\/\/arpi.unipi.it\/cris\/rp\/rp13561","unipi-persone-pubblicazioni":"<ul class=\"pubblicazioni-list\"><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1333009\" target=\"_blank\" rel=\"noopener noreferrer\">Extreme Value Theory and Poisson Statistics for Discrete Time Samplings of Stochastic Differential Equations<\/a> <span class=\"pub-details\">(Flandoli, F.; Galatolo, S.; Giulietti, P.; Vaienti, S. - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1300068\" target=\"_blank\" rel=\"noopener noreferrer\">Optimal linear response for expanding circle maps<\/a> <span class=\"pub-details\">(Froyland, Gary; Galatolo, Stefano - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1300067\" target=\"_blank\" rel=\"noopener noreferrer\">A logarithm law for non-autonomous systems rapidly converging to equilibrium and mean field coupled systems<\/a> <span class=\"pub-details\">(Galatolo, Stefano; Faranda, Davide - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1237347\" target=\"_blank\" rel=\"noopener noreferrer\">Linear response due to singularities<\/a> <span class=\"pub-details\">(Bahsoun, Wael; Galatolo, Stefano - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1184147\" target=\"_blank\" rel=\"noopener noreferrer\">A general framework for the rigorous computation of invariant densities and the coarse-fine strategy<\/a> <span class=\"pub-details\">(Galatolo, S.; Monge, M.; Nisoli, I.; Poloni, F. - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1152060\" target=\"_blank\" rel=\"noopener noreferrer\">Self-Consistent Transfer Operators: Invariant Measures, Convergence to Equilibrium, Linear Response and Control of the Statistical Properties<\/a> <span class=\"pub-details\">(Galatolo, Stefano - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1152059\" target=\"_blank\" rel=\"noopener noreferrer\">Optimal Linear Response for Markov Hilbert\u2013Schmidt Integral Operators and Stochastic Dynamical Systems<\/a> <span class=\"pub-details\">(Antown, Fadi; Froyland, Gary; Galatolo, Stefano - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1143164\" target=\"_blank\" rel=\"noopener noreferrer\">Existence of multiple noise-induced transitions in Lasota\u2013Mackey maps<\/a> <span class=\"pub-details\">(Chihara, Takumi; Sato, Yuzuru; Nisoli, Isaia; Galatolo, Stefano - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1137286\" target=\"_blank\" rel=\"noopener noreferrer\">QUANTITATIVE STATISTICAL STABILITY AND LINEAR RESPONSE FOR IRRATIONAL ROTATIONS AND DIFFEOMORPHISMS OF THE CIRCLE<\/a> <span class=\"pub-details\">(Galatolo, S.; Sorrentino, A. - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1105494\" target=\"_blank\" rel=\"noopener noreferrer\">Quadratic response and speed of convergence of invariant measures in the zero-noise limit<\/a> <span class=\"pub-details\">(Galatolo, Stefano; Marsan, Hugo - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1081585\" target=\"_blank\" rel=\"noopener noreferrer\">Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables<\/a> <span class=\"pub-details\">(Galatolo, Stefano; Holland, Mark; Persson, Tomas; Zhang, Yiwei - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1057468\" target=\"_blank\" rel=\"noopener noreferrer\">Existence of noise induced order, a computer aided proof<\/a> <span class=\"pub-details\">(Galatolo, S.; Monge, M.; Nisoli, I. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1057471\" target=\"_blank\" rel=\"noopener noreferrer\">Quadratic response of random and deterministic dynamical systems<\/a> <span class=\"pub-details\">(Galatolo, S.; Sedro, J. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1057463\" target=\"_blank\" rel=\"noopener noreferrer\">Spectral gap and quantitative statistical stability for systems with contracting fibers and lorenz-like maps<\/a> <span class=\"pub-details\">(Galatolo, S.; Lucena, R. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1018126\" target=\"_blank\" rel=\"noopener noreferrer\">Arnold Maps with Noise: Differentiability and Non-monotonicity of the Rotation Number<\/a> <span class=\"pub-details\">(Marangio, L.; Sedro, J.; Galatolo, S.; Di Garbo, A.; Ghil, M. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><\/ul>","unipi-persone-didattica":"<ul class=\"registri-list\"><li>Analisi matematica i (cod. 004AA) per Laurea in Ingegneria elettronica<br\/><strong>Insegnamenti condivisi\/mutuati:<\/strong><ul class=\"registri-shared\"><li>Analisi matematica i (cod. 004AA) - Laurea in Ingegneria delle telecomunicazioni<\/li><\/ul><\/li><\/ul>","unipi-persone-codocenze":"<h4 class=\"mt-2\">Incarichi di co-docenza in moduli\/insegnamenti<\/h4><ul><li>Sistemi Dinamici Aleatori (Cod. 0062A) per Laurea Magistrale in Matematica<\/li><\/ul>","unipi-persone-interessi-ricerca":"Dynamical systems theory, and statistical properties of dynamics for deterministic, random, or interacting systems.<br \/>\r\nMathematical methods for the study of complex systems.<br \/>\r\nComputational methods for the analysis of dynamics and computer-aided proofs.","_wpml_word_count":"14","_last_translation_edit_mode":"translation-editor","_elementor_page_assets":[]},"organizzazioni":[3710],"class_list":["post-147778","unipi_persone","type-unipi_persone","status-publish","hentry","organizzazioni-dipartimento-di-matematica-529999-en"],"email":"stefano.galatolo@unipi.it","telefono":"0502212111","content_plain":"Professore Associato &#8211; Dipartimento di Matematica | Tel.: 0502212111 &#8211; Email: stefano.galatolo@unipi.it","photo_url":"https:\/\/www.unipi.it\/fotopersonale\/413.jpg","ruoli_tags":[{"id":759,"name":"PA","slug":"pa"}],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Stefano Galatolo ~ UNIPI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Stefano Galatolo ~ UNIPI\" \/>\n<meta property=\"og:description\" content=\"Professore Associato &#8211; Dipartimento di Matematica | Tel.: 0502212111 &#8211; Email: stefano.galatolo@unipi.it\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/\" \/>\n<meta property=\"og:site_name\" content=\"UNIPI\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/unipisaofficial\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-04-01T02:40:16+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/\",\"url\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/\",\"name\":\"Stefano Galatolo ~ UNIPI\",\"isPartOf\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#website\"},\"datePublished\":\"2025-05-12T14:03:28+00:00\",\"dateModified\":\"2026-04-01T02:40:16+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\/\/www.unipi.it\/en\/home\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Stefano Galatolo\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.unipi.it\/en\/#website\",\"url\":\"https:\/\/www.unipi.it\/en\/\",\"name\":\"UNIPI\",\"description\":\"UNIPI\",\"publisher\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.unipi.it\/en\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.unipi.it\/en\/#organization\",\"name\":\"UNIPI\",\"url\":\"https:\/\/www.unipi.it\/en\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.unipi.it\/en\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.unipi.it\/wp-content\/uploads\/Raggruppa-3020.svg\",\"contentUrl\":\"https:\/\/www.unipi.it\/wp-content\/uploads\/Raggruppa-3020.svg\",\"width\":176,\"height\":64,\"caption\":\"UNIPI\"},\"image\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/unipisaofficial\/\",\"https:\/\/www.instagram.com\/unipisa\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Stefano Galatolo ~ UNIPI","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/stefano-galatolo-413-en\/","og_locale":"en_US","og_type":"article","og_title":"Stefano Galatolo ~ UNIPI","og_description":"Professore Associato &#8211; 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