BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251121T075032EST-13765dZool@132.216.98.100 DTSTAMP:20251121T125032Z DESCRIPTION:Probabilistic aspects of minimum spanning trees.\n\nOne of the most dynamic areas of probability theory is the study of the behaviour of discrete optimization problems on random inputs. My talk will focus on the probabilistic analysis of one of the first and foundational combinatorial optimization problems: the minimum spanning tree problem. The structure o f a random minimum spanning tree (MST) of a graph G turns out to be intima tely linked to the behaviour of critical and near-critical percolation on G. I will describe this connection\, and present some results on the struc ture\, scaling limits\, and volume growth of random MSTs. It turns out tha t\, on high-dimensional graphs\, random minimum spanning trees are expecte d to be three-dimensional when viewed intrinsically\, and six-dimensional when viewed as embedded objects.\n \n Based on joint works with Nicolas Brou tin\, Christina Goldschmidt\, Simon Griffiths\, Ross Kang\, Gregory Miermo nt\, Bruce Reed\, Sanchayan Sen. \n DTSTART:20170310T210000Z DTEND:20170310T220000Z LOCATION:Room 6254\, CA\, QC\, Montreal\, H3T 1J4\, Pavillon André-Aisensta dt\, 2920\, Chemin de la tour\, 5th floor SUMMARY:Louigi Addario-Berry\, ɬÀï·¬ URL:/mathstat/channels/event/louigi-addario-berry-mcgi ll-university-266725 END:VEVENT END:VCALENDAR