{"id":1288,"date":"2011-02-05T01:06:35","date_gmt":"2011-02-04T23:06:35","guid":{"rendered":"http:\/\/djalil.chafai.net\/blog\/?p=1288"},"modified":"2011-02-05T21:01:55","modified_gmt":"2011-02-05T19:01:55","slug":"concentration-for-empirical-spectral-distributions-2","status":"publish","type":"post","link":"https:\/\/djalil.chafai.net\/blog\/2011\/02\/05\/concentration-for-empirical-spectral-distributions-2\/","title":{"rendered":"Concentration for empirical spectral distributions"},"content":{"rendered":"<p style=\"text-align: justify;\">I have just updated my <a title=\"Concentration for empirical spectral distributions\" href=\"\/blog\/2010\/06\/10\/concentration-for-empirical-spectral-distributions\">former post on the concentration for empirical spectral distributions<\/a>. Surprisingly, the concentration of empirical spectral distributions of random matrices around their mean holds under very weak assumptions (independent rows). No moments assumptions, no Poincar\u00e9 or log-Sobolev inequalities, no Talagrand concentration inequalities for convex Lipschitz functions. The brave Azuma-Hoeffding-McDiarmid bounded differences inequalities\u00a0 are enough!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I have just updated my former post on the concentration for empirical spectral distributions. Surprisingly, the concentration of empirical spectral distributions of random matrices around&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/djalil.chafai.net\/blog\/2011\/02\/05\/concentration-for-empirical-spectral-distributions-2\/\">Continue reading<span class=\"screen-reader-text\">Concentration for empirical spectral distributions<\/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":48},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/1288"}],"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=1288"}],"version-history":[{"count":4,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/1288\/revisions"}],"predecessor-version":[{"id":1299,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/1288\/revisions\/1299"}],"wp:attachment":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/media?parent=1288"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/categories?post=1288"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/tags?post=1288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}