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UID:20250708T052720EDT-7562nrWDKX@132.216.98.100
DTSTAMP:20250708T092720Z
DESCRIPTION:Title: Infinite geodesic in inhomogeneous exponential last pass
 age percolation\n\nAbstract: This talk will discuss some recent progress o
 n understanding the structure of semi-infinite geodesics and their associa
 ted Busemann functions in the inhomogeneous exactly solvable exponential l
 ast-passage percolation model. In contrast to the homogeneous model\, this
  generalization admits linear segments of the limit shape and an associate
 d richer structure of semi-infinite geodesic behaviors. Depending on certa
 in choices of the inhomogeneity parameters\, we show that the model exhibi
 ts new behaviors of semi-infinite geodesics\, which include wandering semi
 -infinite geodesics with no asymptotic direction\, isolated asymptotic dir
 ections of semi-infinite geodesics\, and non-trivial intervals of directio
 ns with no semi-infinite geodesics.\n	\n	Based on joint work with Elnur Emra
 h (Bristol) and Timo Seppäläinen (Madison)\n\n \n
DTSTART:20241121T163000Z
DTEND:20241121T173000Z
LOCATION:Room 719A\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Chris Janjigian (Purdue University)
URL:/mathstat/channels/event/chris-janjigian-purdue-un
 iversity-361335
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