{"id":210,"date":"2023-01-03T15:33:30","date_gmt":"2023-01-03T15:33:30","guid":{"rendered":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/?p=210"},"modified":"2023-01-31T15:09:48","modified_gmt":"2023-01-31T15:09:48","slug":"undergraduate-dissertation","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/2023\/01\/03\/undergraduate-dissertation\/","title":{"rendered":"Undergraduate Dissertation"},"content":{"rendered":"\n<p>For my undergraduate course (MSci Mathematics at Lancaster University) my dissertation was on discrete-time Markov Chains, supervised by Professor Dmitry Korshunov.<\/p>\n\n\n\n<p>For my dissertation I studied classification of states, return times, and invariant and asymptotic distributions. I also looked at various applications of Markov Chains, such as simple random walks, branching processes, and MCMC (Markov Chain Monte Carlo).<\/p>\n\n\n\n<p>View my dissertation here:<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-fill\"><a class=\"wp-block-button__link has-text-color has-background wp-element-button\" href=\"http:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-content\/uploads\/sites\/47\/2023\/01\/Dissertation.pdf\" style=\"color:#faf8f1;background-color:#185994\">Discrete-Time Markov Chains<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>For my undergraduate course (MSci Mathematics at Lancaster University) my dissertation was on discrete-time Markov Chains, supervised by Professor Dmitry&hellip;<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-210","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/posts\/210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/comments?post=210"}],"version-history":[{"count":2,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/posts\/210\/revisions"}],"predecessor-version":[{"id":247,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/posts\/210\/revisions\/247"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/media?parent=210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/categories?post=210"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/james-neill\/wp-json\/wp\/v2\/tags?post=210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}