{"id":23687,"date":"2026-10-16T22:00:19","date_gmt":"2026-10-16T20:00:19","guid":{"rendered":"https:\/\/djalil.chafai.net\/blog\/?p=23687"},"modified":"2026-10-16T22:15:15","modified_gmt":"2026-10-16T20:15:15","slug":"archimedes-barenblatt-sato-tate","status":"publish","type":"post","link":"https:\/\/djalil.chafai.net\/blog\/2026\/10\/16\/archimedes-barenblatt-sato-tate\/","title":{"rendered":"Archimedes, Barenblatt, and Sato-Tate"},"content":{"rendered":"<p><a href=\"http:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2024\/03\/FieldsMedalBack.png\"><img loading=\"lazy\" class=\"aligncenter wp-image-19738 size-medium\" src=\"http:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2024\/03\/FieldsMedalBack-296x300.png\" alt=\"\" width=\"296\" height=\"300\" srcset=\"https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2024\/03\/FieldsMedalBack-296x300.png 296w, https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2024\/03\/FieldsMedalBack-80x80.png 80w, https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2024\/03\/FieldsMedalBack.png 596w\" sizes=\"(max-width: 296px) 100vw, 296px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Who knows that the Fields medal is depicting a geometric probability theorem? I have just prepared the notes of a talk for our informal working probability seminar. It is about Archimedes, Barenblatt, and Sato-Tate. Here is the <a href=\"https:\/\/djalil.chafai.net\/docs\/dma-gt-20261012-archimedes-barenblatt-sato-tate-en.pdf\">PDF<\/a>, an automatic translation of the French version <a href=\"https:\/\/djalil.chafai.net\/docs\/dma-gt-20261012-archimede-barenblatt-sato-tate.pdf\">PDF<\/a>.<\/p>\n<p style=\"text-align: justify;\"><strong>Further reading on this blog.<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/djalil.chafai.net\/blog\/2024\/03\/18\/archimedes-theorem-sphere-cylinder\/\">Archimedes theorem on the sphere and cylinder<\/a> (2024-03-18) <\/li>\n<li><a href=\"https:\/\/djalil.chafai.net\/blog\/2024\/10\/20\/back-to-basics-student-and-barenblatt\/\">Back to basics : Student and Barenblatt<\/a> (2024-10-20)<\/li>\n<li><a href=\"https:\/\/djalil.chafai.net\/blog\/2025\/04\/18\/s3-archimedes-su2-and-the-semicircle\/\">Archimedes, SU(2), and the semi-circle<\/a> (2025-04-18) <\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Who knows that the Fields medal is depicting a geometric probability theorem? I have just prepared the notes of a talk for our informal working&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/djalil.chafai.net\/blog\/2026\/10\/16\/archimedes-barenblatt-sato-tate\/\">Continue reading<span class=\"screen-reader-text\">Archimedes, Barenblatt, and Sato-Tate<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":6},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/23687"}],"collection":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/comments?post=23687"}],"version-history":[{"count":10,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/23687\/revisions"}],"predecessor-version":[{"id":23697,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/23687\/revisions\/23697"}],"wp:attachment":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/media?parent=23687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/categories?post=23687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/tags?post=23687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}