{"id":22582,"date":"2022-10-31T08:47:39","date_gmt":"2022-10-31T12:47:39","guid":{"rendered":"https:\/\/carleton.ca\/math\/?p=22582"},"modified":"2022-10-31T08:47:39","modified_gmt":"2022-10-31T12:47:39","slug":"probability-statistics-seminar-2","status":"publish","type":"post","link":"https:\/\/carleton.ca\/math\/2022\/probability-statistics-seminar-2\/","title":{"rendered":"Probability & Statistics Seminar"},"content":{"rendered":"

Date:\u00a0 Friday, November 4, 2022
\nTime:\u00a0 3:00 – 4:00 p.m.
\nLocation: Zoom (see below)
\nTitle:\u00a0 An Equality in Law of Loop-Erased Random Walks with Applications on Some Fractal Spaces.
\nSpeaker:\u00a0 Shiping Cao\u00a0(University of Washington).<\/p>\n

Abstract.<\/strong>\u00a0We introduce the partial loop erasure (PLE) procedure, under which loops are erased only when the Markov chain enters a subset of the state space. We will prove an equality in law of the usual loop-erased random walk (LERW) and the simple path obtained through an integrated PLE procedure. The equality has applications on some fractal spaces, including the existence of the scaling limits of LERW on the Sierpinski gasket and on (planar) Sierpinski carpets. For simplicity, I will the Sierpinski gasket as a concrete example. And, I will review the construction of the Brownian motion on the Sierpinski gasket for necessary backgrounds at the beginning of the talk.
\n____________________________________________________________________<\/p>\n

Topic: Nov 4, 2022 – Statistics & Probability Seminar
\nTime: Nov 4, 2022 02:45 PM America\/Toronto<\/p>\n

Join Zoom Meeting<\/p>\n

https:\/\/uottawa-ca.zoom.us\/j\/97567279148?pwd=OTNsOHZqZ3lrWGpqZFNkVlNPTjZyUT09<\/a><\/p>\n

Meeting ID: 975 6727 9148
\nPasscode: V53gVD<\/p>\n

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Meeting ID: 975 6727 9148
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Date:\u00a0 Friday, November 4, 2022 Time:\u00a0 3:00 – 4:00 p.m. Location: Zoom (see below) Title:\u00a0 An Equality in Law of Loop-Erased Random Walks with Applications on Some Fractal Spaces. Speaker:\u00a0 Shiping Cao\u00a0(University of Washington). Abstract.\u00a0We introduce the partial loop erasure (PLE) procedure, under which loops are erased only when the Markov chain enters a subset […]<\/p>\n","protected":false},"author":44,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_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":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[1,3],"tags":[],"yoast_head":"\nProbability & Statistics Seminar - 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