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SUMMARY:The chemical distance in random interlacements in the low-intensit
 y regime - Saraí Hernández-Torres (Technion)
DTSTART:20220510T130000Z
DTEND:20220510T140000Z
UID:TALK174071@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION: Random interlacements is a Poissonian soup of doubly-infinite
  random walk trajectories on Z^d\, with a parameter u > 0 controlling the 
 intensity of the Poisson point process. In a natural way\, the model defin
 es a percolation on the edges of Z^d with long-range correlations. We cons
 ider the time constant associated to the chemical distance in random inter
 lacements at low intensity u > 0. It is conjectured that the time constant
  times u^{1/2} converges to the Euclidean norm\, as u ↓ 0. In dimensions
  d ≥ 5\, we prove a sharp upper bound and an almost sharp lower bound fo
 r the time constant as the intensity decays to zero. Joint work with Eviat
 ar Procaccia and Ron Rosenthal.\n
LOCATION:MR12\, Centre for Mathematical Sciences
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