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VERSION:2.0
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20210203T120754Z
DTSTART:20210210T150000Z
DTEND:20210210T160000Z
SUMMARY:Perla Sousi - The uniform spanning tree in 4 dimensions
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}q1hm-kkpdzi
8o-ktdva5
DESCRIPTION:Perla Sousi (Cambridge) will speak in the Probability seminar
. \n\nA uniform spanning tree of Z^4 can be thought of as the ‘’uniform
\nmeasure’’ on trees of Z^4. The past of 0 in the uniform spanning tree
\nis the finite component that is disconnected from infinity when 0 is
\ndeleted from the tree. We establish the logarithmic corrections to the
\nprobabilities that the past contains a path of length n\, that it has
\nvolume at least n and that it reaches the boundary of the box of side
\nlength n around 0. Dimension 4 is the upper critical dimension for th
is \nmodel in the sense that in higher dimensions it exhibits "mean-fiel
d" \ncritical behaviour. An important part of our proof is the study of
the \nNewtonian capacity of a loop erased random walk in 4 dimensions. T
his is \njoint work with Tom Hutchcroft.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION: https://zoom.us/j/94645772345
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