Statistics Seminar, Márton Balázs, University of Bristol
Queues, stationarity, and stabilisation of last passage percolation (Joint work with Ofer Busani and Timo Seppäläinen)
(the seminar was postponed from an earlier date)
Take a point x on the 2-dimensional integer lattice and another one y North-East from the first. Now place independent identically distributed exponential weights on the vertices of the lattice; the last passage time between the two points is the maximal sum of these weights which can be collected by a path that takes North and East steps. The process of these weights as y varies is a difficult one, but, locally, has a nice asymptotic structure.
I'll explain what stationary queues have to do with this, and how this insight gives coalescence properties of the maximal-weight paths of last passage.
Tid: 2023-06-09 13:00 till 14:00
s [dot] volkov [at] maths [dot] lth [dot] se