{"id":206980,"date":"2019-01-30T14:17:18","date_gmt":"2019-01-30T19:17:18","guid":{"rendered":"http:\/\/www.montclair.edu\/mathematics\/?p=206980"},"modified":"2024-08-01T12:27:14","modified_gmt":"2024-08-01T16:27:14","slug":"faculty-publish-in-siam","status":"publish","type":"post","link":"https:\/\/www.montclair.edu\/mathematics\/2019\/01\/30\/faculty-publish-in-siam\/","title":{"rendered":"Faculty Publish in SIAM"},"content":{"rendered":"<p>With its long history in a variety of fields, stochastic analysis continues to challenge modelers. Noise plays an important functional role in changing a system\u2019s dynamics in applications across mathematical finance, physics, and biology [7]. Researchers in multiple disciplines have developed numerous approaches and notations to understand the dynamics beyond numerical simulation. Adding to the complexity, one can model noise as an external source or a collection of random internal processes, and few have considered incorporating either concept into models with time-dependent forcing.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Drs. Lora Billings and Eric Forgoston found that classical tools from dynamical systems and perturbation theory provide an intuitive way to analyze stochastic epidemiological models with seasonal forcing and predict noise-induced rare events.<\/p>\n","protected":false},"author":34,"featured_media":206981,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[18],"tags":[],"class_list":["post-206980","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-research"],"_links":{"self":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/206980","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=206980"}],"version-history":[{"count":3,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/206980\/revisions"}],"predecessor-version":[{"id":208436,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/206980\/revisions\/208436"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media\/206981"}],"wp:attachment":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=206980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/categories?post=206980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/tags?post=206980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}