{"id":1303,"date":"2021-06-08T12:04:39","date_gmt":"2021-06-08T16:04:39","guid":{"rendered":"https:\/\/engineering.jhu.edu\/ams\/probability-and-stochastic-processes\/"},"modified":"2023-04-11T13:51:36","modified_gmt":"2023-04-11T17:51:36","slug":"probability-and-stochastic-processes","status":"publish","type":"page","link":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/","title":{"rendered":"Probability and Stochastic Processes"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">The probability research group is primarily focused on discrete probability topics. Random graphs and percolation models (infinite random graphs) are studied using stochastic ordering, subadditivity, and the probabilistic method, and have applications to phase transitions and critical phenomena in physics, flow of fluids in porous media, and spread of epidemics or knowledge in populations. Convergence rates to equilibrium in Markov chains are studied and applied to Markov Chain Monte Carlo simulation, and related algorithms for perfect sampling are created and analyzed.Various probabilistic and other techniques are used to analyze the performance of algorithms in computer science used for such purposes as sorting and searching.\u00a0 A plethora of interesting questions and applications allow us to involve both undergraduate and graduate students in valuable research in modern probability and stochastic processes.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The probability research group is primarily focused on discrete probability topics. Random graphs and percolation models (infinite random graphs) are studied using stochastic ordering, subadditivity, and the probabilistic method, and&hellip;<\/p>\n","protected":false},"author":31,"featured_media":0,"parent":31,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-1303","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Probability and Stochastic Processes | Department of Applied Mathematics and Statistics<\/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:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Probability and Stochastic Processes | Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"og:description\" content=\"The probability research group is primarily focused on discrete probability topics. Random graphs and percolation models (infinite random graphs) are studied using stochastic ordering, subadditivity, and the probabilistic method, and&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"article:modified_time\" content=\"2023-04-11T17:51:36+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Probability and Stochastic Processes | Department of Applied Mathematics and Statistics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/","og_locale":"en_US","og_type":"article","og_title":"Probability and Stochastic Processes | Department of Applied Mathematics and Statistics","og_description":"The probability research group is primarily focused on discrete probability topics. Random graphs and percolation models (infinite random graphs) are studied using stochastic ordering, subadditivity, and the probabilistic method, and&hellip;","og_url":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/","og_site_name":"Department of Applied Mathematics and Statistics","article_modified_time":"2023-04-11T17:51:36+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/","url":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/","name":"Probability and Stochastic Processes | Department of Applied Mathematics and Statistics","isPartOf":{"@id":"https:\/\/engineering.jhu.edu\/ams\/#website"},"datePublished":"2021-06-08T16:04:39+00:00","dateModified":"2023-04-11T17:51:36+00:00","breadcrumb":{"@id":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/engineering.jhu.edu\/ams\/research\/probability-and-stochastic-processes\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/engineering.jhu.edu\/ams\/"},{"@type":"ListItem","position":2,"name":"Research","item":"https:\/\/engineering.jhu.edu\/ams\/research\/"},{"@type":"ListItem","position":3,"name":"Probability and Stochastic Processes"}]},{"@type":"WebSite","@id":"https:\/\/engineering.jhu.edu\/ams\/#website","url":"https:\/\/engineering.jhu.edu\/ams\/","name":"Hopkins Applied Math & Statistics","description":"Department of Applied Mathematics and Statistics","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/engineering.jhu.edu\/ams\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"Department of Applied Mathematics and Statistics","distributor_original_site_url":"https:\/\/engineering.jhu.edu\/ams","push-errors":false,"_links":{"self":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/pages\/1303","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/users\/31"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/comments?post=1303"}],"version-history":[{"count":10,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/pages\/1303\/revisions"}],"predecessor-version":[{"id":45264,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/pages\/1303\/revisions\/45264"}],"up":[{"embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/pages\/31"}],"wp:attachment":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/media?parent=1303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}