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SUMMARY:Ofer Busani (University of Bristol)
DTSTART:20200813T160000Z
DTEND:20200813T170000Z
DTSTAMP:20260423T035933Z
UID:JIPS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JIPS/3/">Uni
 versality of geodesic tree in last passage percolation</a>\nby Ofer Busani
  (University of Bristol) as part of Junior Integrable Probability Seminar\
 n\n\nAbstract\nIn Last Passage Percolation (LPP) one assumes i.i.d. weight
 s on the lattice Z^2. The geodesic from the anti-diagonal h(x)=-x to the p
 oint (N\,N) is an up-right path starting from h and terminating at (N\,N) 
 on which the total weight is maximal. Consider now a cylinder H of width 
 εN^2/3 and length ε^{3/2-}N centered around the point (N\,N) and along t
 he straight line going from the point (0\,0) to the point (N\,N). The geod
 esic tree consists of all the geodesics going from h and terminating in th
 e cylinder H. We show that for exponential LPP\, for a large class of weig
 hts on h(x) and with high probability\, the geodesic tree coincides on H w
 ith a universal stationary tree.\n
LOCATION:https://researchseminars.org/talk/JIPS/3/
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