BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250803T130754EDT-5358TvDDtl@132.216.98.100 DTSTAMP:20250803T170754Z DESCRIPTION:Title: Busemann functions and Gibbs measures in directed polyme r models on Z^2 .\n\nAbstract: We consider the model of a nearest-neighbor random walk on the planar square lattice in a general iid space-time pote ntial\, which is also known as a directed polymer in a random environment. We prove results on existence\, uniqueness (and non-uniqueness)\, and the law of large numbers for semi-infinite path measures. Our main tools are the Busemann functions\, which are families of stochastic processes obtain ed through limits of ratios of partition functions.\n Based on joint work w ith Firas Rassoul-Agha.\n DTSTART:20190211T190000Z DTEND:20190211T200000Z LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Chris Janjigian (University of Utah) URL:/mathstat/channels/event/chris-janjigian-universit y-utah-294448 END:VEVENT END:VCALENDAR