{"id":339953,"date":"2016-12-21T11:05:58","date_gmt":"2016-12-21T19:05:58","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/?post_type=msr-research-item&#038;p=339953"},"modified":"2018-10-16T21:18:40","modified_gmt":"2018-10-17T04:18:40","slug":"avoidance-coupling","status":"publish","type":"msr-research-item","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/publication\/avoidance-coupling\/","title":{"rendered":"Avoidance Coupling"},"content":{"rendered":"<p>We examine the question of whether a collection of random walks on a graph can be coupled so that they never collide. In particular, we show that on the complete graph on n vertices, with or without loops, there is a Markovian coupling keeping apart \u2126(<em>n<\/em>\/ log <em>n<\/em>) random walks, taking turns to move in discrete time.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We examine the question of whether a collection of random walks on a graph can be coupled so that they never collide. In particular, we show that on the complete graph on n vertices, with or without loops, there is a Markovian coupling keeping apart \u2126(n\/ log n) random walks, taking turns to move in [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Institute of Mathematical Statistics","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Electronic Communications in 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