BEGIN:VCALENDAR
VERSION:2.0
PRODID:talks.ox.ac.uk
BEGIN:VEVENT
SUMMARY:Anchored expansion in supercritical percolation on nonamenable gra
phs - Jonathan Hermon (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20190507T110000Z
DTEND;VALUE=DATE-TIME:20190507T120000Z
UID:https://talks.ox.ac.uk/talks/id/1fa9bea7-0fa5-4981-a842-26111ed1dcba/
DESCRIPTION:Let G be a transitive nonamenable graph\, and consider supercr
itical Bernoulli bond percolation on G. We prove that the probability that
the origin lies in a finite cluster of size n decays exponentially in n.
We deduce that: \n\n1. Every infinite cluster has anchored expansion almos
t surely. This answers positively a question of Benjamini\, Lyons\, and Sc
hramm (1997). \n\n2. Various observables\, including the percolation proba
bility and the truncated susceptibility are analytic functions of p throug
hout the entire supercritical phase.\n\nJoint work with Tom Hutchcroft. \n
Speakers:\nJonathan Hermon (University of Cambridge)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
URL:https://talks.ox.ac.uk/talks/id/1fa9bea7-0fa5-4981-a842-26111ed1dcba/
BEGIN:VALARM
ACTION:display
DESCRIPTION:Talk:Anchored expansion in supercritical percolation on noname
nable graphs - Jonathan Hermon (University of Cambridge)
TRIGGER:-PT1H
END:VALARM
END:VEVENT
END:VCALENDAR