{"id":2592,"date":"2022-04-21T15:01:27","date_gmt":"2022-04-21T06:01:27","guid":{"rendered":"https:\/\/www.ibs.re.kr\/ecopro\/?page_id=2592"},"modified":"2022-09-30T16:41:52","modified_gmt":"2022-09-30T07:41:52","slug":"reading-spring-2022","status":"publish","type":"page","link":"https:\/\/www.ibs.re.kr\/ecopro\/reading-spring-2022\/","title":{"rendered":"Reading Spring 2022"},"content":{"rendered":"\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block stk-e77706d\" id=\"boolean-functions\" data-block-id=\"e77706d\"><style>.stk-e77706d .stk-block-heading__text{text-shadow:none !important}<\/style><h2 class=\"stk-block-heading__text\">Boolean functions<\/h2><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The <strong>goal<\/strong> is to study Boolean functions and their applications. Along the way, we will post questions that puzzle us, if you know the answer, please email us. \ud83d\ude42<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Time: Every Wedn 14:30~16:00 (KST), April 27-<\/li><li>Zoom: 890 901 6918, PW: 202204<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><span style=\"color: #222222;background-color: #ff6900\" class=\"stk-highlight\">Announcement<\/span><\/h4>\n\n\n\n<ul class=\"wp-block-list\"><li><span style=\"color: #000000;\" class=\"stk-highlight\">No reading on June 29.<\/span><\/li><li>Reading on July 6 is moved to 16:00 (KST).<\/li><li>Reading on July 13 is moved to July 15 at 14:30 (KST).<\/li><li>July 27 reading is replaced by Lifshitz&#8217;s talk: https:\/\/dimag.ibs.re.kr\/event\/2022-07-27\/<\/li><li>No reading on August 3, due to summer school.<\/li><\/ul>\n\n\n<div style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-6afdf142-9a0e-4a7f-b14d-79e8d814807e\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/www.overleaf.com\/read\/ckvwbntgkmww\" target=\"_blank\" rel=\"noopener noreferrer nofollow\" class=\"ub-button-block-main   ub-button-flex\" role=\"button\" style=\"--ub-button-background-color: transparent; --ub-button-color: #cf2e2e; --ub-button-border: 3px solid #cf2e2e; --ub-button-hover-color: #313131; --ub-button-hover-border: 3px solid #313131; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 100px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-block-btn\"><strong>Note<\/strong><\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/www.bilibili.com\/video\/BV1hS4y187zn?spm_id_from=333.999.0.0\" target=\"_blank\" rel=\"noopener noreferrer nofollow\" class=\"ub-button-block-main   ub-button-flex\" role=\"button\" style=\"--ub-button-background-color: transparent; --ub-button-color: #0693e3; --ub-button-border: 3px solid #0693e3; --ub-button-hover-color: #313131; --ub-button-hover-border: 3px solid #313131; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 20%; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-block-btn\"><strong>Videos<\/strong><\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>\n\n\n<ol class=\"wp-block-list\"><li>4\/27: Basics on discrete Fourier analysis; exact (approximate): (almost) linear functions are (almost) monomials. <\/li><li>5\/4: Condorcet&#8217;s paradox in 3-candidate election, Kalai&#8217;s proof of Arrow&#8217;s thm, correlated pair, noise stability.<\/li><li>5\/11: Polymorphism, noise operator, probability of having a Condorcet winner.<\/li><li>5\/18: Proof of Friedgut-Kalai-Noar by induction.<\/li><li>5\/25: Proof of FKN via Bonami&#8217;s inequality, noise operator and hypercontractivity.<\/li><li>6\/1: Proof of hypercontractivity, influence.<\/li><li>6\/8: Proof of Friedgut&#8217;s Junta thm: high level Fourier coeff. easy to bound via influence, low level ones via hypercontractivity.<\/li><li>6\/15: Proof of Kahn-Kalai-Linial on influencial coordinate, tight example: tribes.<\/li><li>6\/21: <em>Theorems of KKL, Friedgut, and Talagrand via Random Restrictions and Log-Sobolev Inequality<\/em> by Kelman, Khot, Kindler, Minzer and Safra.<\/li><li>7\/6: Bourgain&#8217;s Junta thm.<\/li><li>7\/15: Bourgain&#8217;s Junta thm.<\/li><li>7\/27: Product-free sets in the alternating group: https:\/\/dimag.ibs.re.kr\/event\/2022-07-27\/<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block stk-4a8bbd9\" id=\"thoughts\" data-block-id=\"4a8bbd9\"><style>.stk-4a8bbd9 .stk-block-heading__text{color:#0693e3 !important}<\/style><h2 class=\"stk-block-heading__text has-text-color has-vivid-cyan-blue-color\">Thoughts<\/h2><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li>polymorphism considers commutativity, what about associativity?<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<div class=\"wp-block-stackable-image stk-block-image stk-block stk-6992242\" data-block-id=\"6992242\"><figure class=\"stk-img-wrapper stk-image--shape-stretch\"><img loading=\"lazy\" decoding=\"async\" class=\"stk-img wp-image-2747\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442.png\" width=\"2480\" height=\"3508\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442.png 2480w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-212x300.png 212w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-724x1024.png 724w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-768x1086.png 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-1086x1536.png 1086w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-1448x2048.png 1448w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/04\/WechatIMG442-283x400.png 283w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Boolean functions The goal is to study Boolean functions and their applications. Along the way, we will post questions that puzzle us, if you know the answer, please email us. &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.ibs.re.kr\/ecopro\/reading-spring-2022\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Reading Spring 2022&#8221;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":2746,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"class_list":["post-2592","page","type-page","status-publish","has-post-thumbnail","hentry"],"featured_image_src":"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2022\/05\/WechatIMG442.png","yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Reading Spring 2022 - Extremal Combinatorics and Probability Group<\/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.ibs.re.kr\/ecopro\/reading-spring-2022\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Reading Spring 2022 - Extremal Combinatorics and Probability Group\" \/>\n<meta property=\"og:description\" content=\"Boolean functions The goal is to study Boolean functions and their applications. 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