{"id":8063,"date":"2025-05-02T12:15:37","date_gmt":"2025-05-02T06:45:37","guid":{"rendered":"http:\/\/10.10.0.172\/sbsweb\/?p=8063"},"modified":"2025-05-02T13:50:38","modified_gmt":"2025-05-02T08:20:38","slug":"seminar-on-spectrum-of-random-centrosymmetric-matrices-on-24-apr-2025","status":"publish","type":"post","link":"https:\/\/sbs.iitbbs.ac.in\/index.php\/seminar-on-spectrum-of-random-centrosymmetric-matrices-on-24-apr-2025\/","title":{"rendered":"Seminar on &#8220;Spectrum of random centrosymmetric matrices&#8221; by Dr. Indrajit Jana, IIT Bhubaneswar on 24-Apr-2025"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"8063\" class=\"elementor elementor-8063\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f5d22dc e-flex e-con-boxed e-con e-parent\" data-id=\"f5d22dc\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-736f780 elementor-widget elementor-widget-heading\" data-id=\"736f780\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Seminar on Spectrum of random centrosymmetric matrices <\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-02aa6a0 e-flex e-con-boxed e-con e-parent\" data-id=\"02aa6a0\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-d76f6f0 e-con-full e-flex e-con e-child\" data-id=\"d76f6f0\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3b68e42 elementor-widget elementor-widget-text-editor\" data-id=\"3b68e42\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Abstract:<\/strong>\u00a0In this talk, I shall begin with a brief non-technical overview of Random Matrix Theory. On the technical side, I&#8217;ll discuss the following. We analyze the asymptotic fluctuations of linear eigenvalue statistics of random centrosymmetric matrices with i.i.d. entries. We prove that for a complex analytic test function, the centered and normalized linear eigenvalue statistics of random centrosymmetric matrices converge to a normal distribution. We find the exact expression of the variance of the limiting normal distribution via combinatorial arguments. Moreover, we also argue that the limiting spectral distribution of properly scaled centrosymmetric matrices follows the circular law.<\/p><p><strong>Name of the Speaker: <\/strong><span style=\"font-family: arial, sans-serif;\">Dr. Indrajit Jana, IIT Bhubaneswar<\/span><br \/><strong>Date<\/strong>: Thursday, 24th April, 2025<br \/><strong>Time<\/strong>: 4 PM \u2013 5 PM<br \/><strong>Venue<\/strong>: Room no. 004<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Seminar on Spectrum of random centrosymmetric matrices Abstract:\u00a0In this talk, I shall begin with a brief non-technical overview of Random [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"disabled","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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