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SUMMARY:Asymptotics for 2D critical and near-critical first-passage percol
 ation - Changlong Yao (Academy of Mathematics and Systems Science\, Chines
 e Academy of Sciences)
DTSTART:20180501T130000Z
DTEND:20180501T140000Z
UID:TALK100714@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We study Bernoulli first-passage percolation on the triangular
  lattice in which sites have 0 and 1 passage times with probability p and 
 1-p\, respectively.  At p=1/2\, we obtain explicit limit theorems for the 
 point to point passage times a_{0\,n}  and the passage times between bound
 ary points of the upper half-plane.  For the supercritical phase\, we give
  exact asymptotics for the passage times from the origin to the infinite c
 luster with 0-time sites\, as p tending to 1/2. The proof relies on the co
 nvergence of the percolation exploration path to SLE(6)\, and the collecti
 on of interface loops to CLE(6).
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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