{"id":518,"date":"2024-03-16T09:54:34","date_gmt":"2024-03-16T13:54:34","guid":{"rendered":"https:\/\/pages.vassar.edu\/mathstats\/?post_type=tribe_events&#038;p=518"},"modified":"2024-03-18T12:20:48","modified_gmt":"2024-03-18T16:20:48","slug":"colloquium-phanuel-de-andrade-mariano-3-26","status":"publish","type":"tribe_events","link":"https:\/\/pages.vassar.edu\/mathstats\/event\/colloquium-phanuel-de-andrade-mariano-3-26\/","title":{"rendered":"(Colloquium) Phanuel de Andrade Mariano 3\/26"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-526\" src=\"http:\/\/pages.vassar.edu\/mathstats\/files\/2024\/03\/image-300x300.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/03\/image.png 300w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/03\/image-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<div><strong>The Hot Spots Problem\u00a0<\/strong><\/div>\n<div><\/div>\n<div><strong>Phanuel de Andrade Mariano<\/strong><\/div>\n<div>Union College<\/div>\n<div><\/div>\n<div><strong>Tuesday, March 26th<br \/>\n<\/strong><strong>3pm Rocky 312<\/strong><\/div>\n<div><\/div>\n<div>Consider a perfectly insulated 1-dimensional rod, or a 2-dimensional plate, or better yet, a 3-dimensional room. Perfectly insulated means that heat cannot escape this room. The Hot Spots Problem asks about what happens to the location of the &#8220;hot spots&#8221; and &#8220;cold spots&#8221; of this insulated body over a long period of time. To understand this problem we will introduce the equation that describes the evolution of heat over time. Moreover, we will discuss what is known (and not known) about this problem. We end the talk by discussing the connection between the Hot Spots Problem and Probability theory. In particular, this connection will be through a theory of random particles called Brownian motion.<\/div>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; The Hot Spots Problem\u00a0 Phanuel de Andrade Mariano Union College Tuesday, March 26th 3pm Rocky 312 Consider a perfectly insulated 1-dimensional rod, or a 2-dimensional plate, or better yet, a 3-dimensional room. Perfectly insulated means that heat cannot escape &hellip; <a href=\"https:\/\/pages.vassar.edu\/mathstats\/event\/colloquium-phanuel-de-andrade-mariano-3-26\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":11043,"featured_media":0,"template":"","meta":{"_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[],"class_list":["post-518","tribe_events","type-tribe_events","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/518","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/users\/11043"}],"version-history":[{"count":4,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/518\/revisions"}],"predecessor-version":[{"id":533,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/518\/revisions\/533"}],"wp:attachment":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/media?parent=518"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tags?post=518"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events_cat?post=518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}