{"id":3626,"date":"2023-09-08T15:56:23","date_gmt":"2023-09-08T13:56:23","guid":{"rendered":"https:\/\/www.uni.lu\/fstm-en\/blog\/research-groups\/giovanni-peccatis-research-group\/"},"modified":"2025-06-18T12:07:58","modified_gmt":"2025-06-18T10:07:58","slug":"revealing-order-in-randomness","status":"publish","type":"research-groups","link":"https:\/\/www.uni.lu\/fstm-en\/research-groups\/revealing-order-in-randomness\/","title":{"rendered":"Revealing Order in Randomness"},"content":{"rendered":"<div class=\"section py-0 static\"><div class=\"section py-0 section wp-block-unilux-blocks-navigation-and-hero py-0\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper container xl:max-w-screen-xl\"><div class=\"js-secondary-nav--sticky wp-block-unilux-blocks-secondary-navigation\" id=\"4116f434-be96-4813-be81-3b45efaed53f\">\n    <nav\n        id=\"secondary-navigation\"\n        role=\"navigation\"\n        aria-label=\"Secondary menu\"\n        class=\"secondary-nav\"\n    >\n        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decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"image peccati 1\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A-300x200.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A-1024x682.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A-768x512.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A-1536x1024.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/image_peccati_101hW9A.jpg 2000w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 16\/9; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n<div class=\"wp-block-unilux-blocks-wrapper hero__body\">\n<div class=\"wp-block-unilux-blocks-wrapper hero__container\">\n<p class=\"wp-block-unilux-blocks-plain-text\">Group members study complex random systems by means of probabilistic, analytical, and geometric methods.<\/p>\n\n\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list\">\n\n<\/ul>\n<\/div>\n<\/div>\n    <\/div>\n<\/section><\/div>\n<\/div>\n\n<section class=\"section section wp-block-unilux-blocks-content-free-media-and-statistics\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"fluctuations-of-high-dimensional-random-structures\"\n    >\nFluctuations of high-dimensional random structures<\/h2>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper flex flex-wrap lg:-mx-32\">\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-7\/12 lg:order-2 lg:px-32\">\n<section class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-scaled.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-300x225.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-1024x768.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-768x576.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-1536x1152.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/UNI-1005-70-2048x1536.jpg 2048w\"\n                style=\"object-position: 48.00% 12.00%; font-family: &quot;object-fit: cover; object-position: 48.00% 12.00%;&quot;; aspect-ratio: 3\/2; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/section><\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-5\/12 lg:order-1 lg:px-32 self-center\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"    >\n<\/h3>\n\n\n\n<p>We develop analytical tools to study the fluctuations of high- or, possibly, infinite-dimensional random systems. A vital aspect of our research centers on models of stochastic geometry, including random geometric graphs and geometric features of random fields.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-7\/12 lg:order-4 lg:px-32\">\n<div class=\"wp-block-unilux-blocks-wrapper flex flex-col mt-[1.5rem]\">\n<div class=\"wp-block-unilux-blocks-wrapper lg:ml-auto\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"    >\n<\/h3>\n\n\n<ul class=\"flex flex-wrap mb-24 -mx-32 wp-block-unilux-blocks-facts-figures-horizontal\">\n    <li class=\"wp-block-unilux-blocks-facts-figures-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper figure-stats\">\n<div class=\"figure-stats__value text-theme wp-block-unilux-blocks-plain-text\"><\/div>\n\n\n<div class=\"figure-stats__description wp-block-unilux-blocks-plain-text\"><\/div><\/div>\n<\/li><\/ul>\n\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-5\/12 lg:order-3 lg:px-32\">\n<ul class=\"wp-block-unilux-blocks-quick-link-underline\">\n    \n<li class=\"wp-block-unilux-blocks-quick-link-underline-item\">\n    <a\n            href=\"https:\/\/orbilu.uni.lu\/simple-search?sort_by=issued_dt&#038;order=desc&#038;query=Giovanni+PECCATI\"\n            class=\"wp-block-unilux-blocks-anchor\"        target=\"_blank\"\n>\n    \n<span class=\"hero__title__subject wp-block-unilux-blocks-plain-text\">Publications<\/span><svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--external-link \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--external-link\"><\/use><\/svg><\/a>\n<\/li>\n<\/ul><\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-5\/12 lg:order-5 lg:px-32\">\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list\"><\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\"><div class=\"flex flex-wrap -mx-16  wp-block-unilux-blocks-highlighted-person-list\">\n    <div class=\"w-full md:w-1\/2 px-16  wp-block-unilux-blocks-highlighted-person-list-item\">\n    \n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"head-of-group\"\n    >\nHead of Group<\/h3>\n\n<div class=\"wp-block-unilux-blocks-wrapper list-people bg-theme\">\n<div class=\"wp-block-unilux-blocks-wrapper list-people__container\">\n<div class=\"wp-block-unilux-blocks-wrapper list-people__visual\"><figure class=\"wp-block-dev4-reusable-blocks-image w-full object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1-300x200.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1-1024x684.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1-768x513.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1-1536x1025.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/NTAwMDI4MjZfX0dpb3Zhbm5pIFBFQ0NBVEk-2048x2048-1.jpg 2048w\"\n                style=\"object-position: 69.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 69.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper list-people__body\">\n<h5 class=\"list-people__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"prof-giovanni-peccati\"\n    >\nProf. Giovanni PECCATI<\/h5>\n\n\n\n<p class=\"list-people__description wp-block-unilux-blocks-plain-text\">Full professor in Mathematics <\/p>\n\n<div class=\"wp-block-unilux-blocks-simple-cta\">\n    <a\n        href=\"https:\/\/www.uni.lu\/fstm-en\/people\/giovanni-peccati\/\"\n        title=\"Learn More\"\n        class=\"link-text link-text--icon link-absolute\"\n        target=\"\"\n    >\n        <span class=\"link-text__body\">\n            <span class=\"link-text__name\">Learn More<\/span>\n        <\/span>\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>    <\/a>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div><\/div><\/section>\n\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"this-group-is-part-of\"\n    >\nThis group is part of:<\/h3>\n\n\n<ul class=\"wp-block-unilux-blocks-button-list\">\n    <li class=\"image-rounded wp-block-unilux-blocks-button-list-item\">\n    <a\n            href=\"https:\/\/www.uni.lu\/fstm-en\/\"\n            class=\"quick-link wp-block-unilux-blocks-anchor\"        target=\"\"\n>\n    \n<span class=\"wp-block-unilux-blocks-wrapper quick-link__container\"><figure class=\"wp-block-dev4-reusable-blocks-image quick-link__img object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Faculty of Science, Technology and Medicine (FSTM) Logo without baseline\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/06\/uni-faculty-fstm-no-baseline.svg\"\n                    style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Faculty of Science, Technology and Medicine (FSTM)<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg><\/span>\n<\/a>\n<\/li><li class=\"image-rounded wp-block-unilux-blocks-button-list-item\">\n    <a\n            href=\"https:\/\/www.uni.lu\/fstm-en\/research-departments\/department-of-mathematics\/\"\n            class=\"quick-link wp-block-unilux-blocks-anchor\"        target=\"\"\n>\n    \n<span class=\"wp-block-unilux-blocks-wrapper quick-link__container\"><figure class=\"wp-block-dev4-reusable-blocks-image quick-link__img object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics.png\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-300x300.png 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-1024x1024.png 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-150x150.png 150w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-768x768.png 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-1536x1536.png 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/Mathematics-2048x2048.png 2048w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Department of Mathematics<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg><\/span>\n<\/a>\n<\/li><\/ul>\n<\/div><\/section>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Group members study complex random systems by means of probabilistic, analytical, and geometric methods.<\/p>\n","protected":false},"author":112,"featured_media":3624,"parent":0,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"Revealing Order in Randomness","uluxPrePostTitle":"Research 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