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SUMMARY:Chemical distance in high-dimensional percolation - Jack Hanson (U
 niversität Hamburg)
DTSTART:20260203T140000Z
DTEND:20260203T150000Z
UID:TALK243871@talks.cam.ac.uk
CONTACT:118195
DESCRIPTION:Abstract: Since at least the 1970s\, transport properties of c
 ritical percolation have been studied in both the physics and mathematics 
 literature. Improving our understanding requires sharp estimates on large-
 scale geometric properties of critical percolation clusters\, including th
 e intrinsic (``chemical'') distance and electrical resistance. We show a s
 harp result for these in high dimensions: the distance and resistance betw
 een the origin and a distant vertex converges in distribution when rescale
 d by a multiple of the square of the Euclidean distance\, conditional on t
 hese vertices lying in the same cluster.
LOCATION:MR12
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