{"id":154551,"date":"2025-05-12T14:28:51","date_gmt":"2025-05-12T14:28:51","guid":{"rendered":"https:\/\/www.unipi.it\/ateneo\/organizzazione\/persone\/aldo-pratelli-130824-en\/"},"modified":"2026-04-01T04:51:53","modified_gmt":"2026-04-01T02:51:53","slug":"aldo-pratelli-130824-en","status":"publish","type":"unipi_persone","link":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-en\/","title":{"rendered":"Aldo Pratelli"},"content":{"rendered":"<p>Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213286 &#8211; Email: aldo.pratelli@unipi.it<\/p>\n","protected":false},"template":"","meta":{"unipi-persone-chiave":"130824","unipi-persone-nome":"Aldo","unipi-persone-cognome":"Pratelli","unipi-persone-email":"aldo.pratelli@unipi.it","unipi-persone-cv":"","unipi-persone-link-esterno-cv":"http:\/\/pagine.dm.unipi.it\/pratelli\/CV_english.pdf","unipi-persone-modalita-ricevimento":"\r\n","unipi-persone-luogo-ricevimento":"\r\n\r\n","unipi-persone-ore-ricevimento":"\r\n\r\n","unipi-persone-telefono":"050 2213286","unipi-persone-sitoweb":"http:\/\/pagine.dm.unipi.it\/pratelli\/","unipi-persone-cariche":"","unipi-persone-link-orario-lezioni":"https:\/\/unipi.prod.up.cineca.it\/calendarioPubblico\/matricola=039190","unipi-persone-link-registro-lezioni":"https:\/\/unimap.unipi.it\/registri\/registri.php?ri=039190&tmplt=principale.tpl","unipi-persone-settore-scientifico":"Analisi Matematica MATH-03\/A","unipi-persone-ruolo":"Professore Ordinario","unipi-persone-arpi":"https:\/\/arpi.unipi.it\/cris\/rp\/rp88638","unipi-persone-pubblicazioni":"<ul class=\"pubblicazioni-list\"><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1327431\" target=\"_blank\" rel=\"noopener noreferrer\">Particle approximation of nonlocal interaction energies<\/a> <span class=\"pub-details\">(Carazzato, Davide; Pratelli, Aldo; Topaloglu, Ihsan - 2026 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1242451\" target=\"_blank\" rel=\"noopener noreferrer\">On the Steiner property for planar minimizing clusters. The isotropic case<\/a> <span class=\"pub-details\">(Franceschi, Valentina; Pratelli, Aldo; Stefani, Giorgio - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1218457\" target=\"_blank\" rel=\"noopener noreferrer\">On the Steiner property for planar minimizing clusters. The anisotropic case<\/a> <span class=\"pub-details\">(Franceschi, Valentina; Pratelli, Aldo; Stefani, Giorgio - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1165025\" target=\"_blank\" rel=\"noopener noreferrer\">Minimality of balls in the small volume regime for a general Gamow-type functional<\/a> <span class=\"pub-details\">(Carazzato, D; Fusco, N; Pratelli, A - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1165027\" target=\"_blank\" rel=\"noopener noreferrer\">Sharp quantitative stability for isoperimetric inequalities with homogeneous weights<\/a> <span class=\"pub-details\">(Cinti, E.; Glaudo, F.; Pratelli, A.; Ros-Oton, X.; Serra, J. - 2022 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1165026\" target=\"_blank\" rel=\"noopener noreferrer\">Comparison between the non-crossing and the non-crossing on lines properties<\/a> <span class=\"pub-details\">(Campbell, D; Pratelli, A; Radici, E - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1114773\" target=\"_blank\" rel=\"noopener noreferrer\">An application of the continuous Steiner symmetrization to Blaschke-Santal\u00f3 diagrams<\/a> <span class=\"pub-details\">(Buttazzo, Giuseppe; Pratelli, Aldo - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1114540\" target=\"_blank\" rel=\"noopener noreferrer\">Minimisers of a general Riesz-type problem<\/a> <span class=\"pub-details\">(Novaga, M.; Pratelli, A. - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1075691\" target=\"_blank\" rel=\"noopener noreferrer\">On the relations between principal eigenvalue and torsional rigidity<\/a> <span class=\"pub-details\">(van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo - 2021 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1165028\" target=\"_blank\" rel=\"noopener noreferrer\">Global Lipschitz extension preserving local constants<\/a> <span class=\"pub-details\">(Di Marino, S; Gigli, N; Pratelli, A - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1076458\" target=\"_blank\" rel=\"noopener noreferrer\">Sharp stability for the Riesz potential<\/a> <span class=\"pub-details\">(Fusco, N.; Pratelli, A. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1059668\" target=\"_blank\" rel=\"noopener noreferrer\">The ? - ?^\u00df Property in the Isoperimetric Problem with Double Density, and the Regularity of Isoperimetric Sets<\/a> <span class=\"pub-details\">(Pratelli, A.; Saracco, G. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1017218\" target=\"_blank\" rel=\"noopener noreferrer\">The closure of planar diffeomorphisms in Sobolev spaces<\/a> <span class=\"pub-details\">(De Philippis, G.; Pratelli, A. - 2020 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1017216\" target=\"_blank\" rel=\"noopener noreferrer\">Some estimates for the higher eigenvalues of sets close to the ball<\/a> <span class=\"pub-details\">(Mazzoleni, D.; Pratelli, A. - 2019 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1017208\" target=\"_blank\" rel=\"noopener noreferrer\">Approximation of planar BV homeomorphisms by diffeomorphisms<\/a> <span class=\"pub-details\">(Pratelli, A.; Radici, E. - 2019 - 1.1 Articolo in rivista)<\/span><\/li><\/ul>","unipi-persone-didattica":"<ul class=\"registri-list\"><li>Analisi superiore b (cod. 799AA) per Laurea Magistrale in Matematica<br\/><strong>Insegnamenti condivisi\/mutuati:<\/strong><ul class=\"registri-shared\"><li>Analisi superiore b (cod. 799AA) -  in <\/li><\/ul><\/li><\/ul>","unipi-persone-codocenze":"<h4 class=\"mt-2\">Incarichi di co-docenza in moduli\/insegnamenti<\/h4><ul><li>Analisi Matematica - Corso A (Cod. 632AA) per Laurea in Fisica<\/li><\/ul>","unipi-persone-interessi-ricerca":"","_wpml_word_count":"14","_last_translation_edit_mode":"translation-editor","_elementor_page_assets":[]},"organizzazioni":[3710],"class_list":["post-154551","unipi_persone","type-unipi_persone","status-publish","hentry","organizzazioni-dipartimento-di-matematica-529999-en"],"email":"aldo.pratelli@unipi.it","telefono":"050 2213286","content_plain":"Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213286 &#8211; Email: aldo.pratelli@unipi.it","photo_url":null,"ruoli_tags":[{"id":748,"name":"PO","slug":"po"}],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Aldo Pratelli ~ 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\/aldo-pratelli-130824-en\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Aldo Pratelli ~ UNIPI\" \/>\n<meta property=\"og:description\" content=\"Professore Ordinario &#8211; Dipartimento di Matematica | Tel.: 050 2213286 &#8211; Email: aldo.pratelli@unipi.it\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-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=\"2026-04-01T02:51:53+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\/aldo-pratelli-130824-en\/\",\"url\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-en\/\",\"name\":\"Aldo Pratelli ~ UNIPI\",\"isPartOf\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#website\"},\"datePublished\":\"2025-05-12T14:28:51+00:00\",\"dateModified\":\"2026-04-01T02:51:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-en\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-en\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/aldo-pratelli-130824-en\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\/\/www.unipi.it\/en\/home\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Aldo Pratelli\"}]},{\"@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":"Aldo Pratelli ~ 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\/aldo-pratelli-130824-en\/","og_locale":"en_US","og_type":"article","og_title":"Aldo Pratelli ~ UNIPI","og_description":"Professore Ordinario &#8211; 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