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SUMMARY:The phase transition for Boolean percolation - Vincent Tassion (ET
 H Zürich)
DTSTART:20180709T133500Z
DTEND:20180709T142000Z
UID:TALK107914@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We consider Boolean percolation in dimension d. Around every p
 oint of a Poisson point process of intensity lambda\, draw a ball of rando
 m radius\, independently for different points. We investigate the connecti
 on probabilities in the subcritical regime and use the randomized algorith
 m method to prove that the phase transition in lambda is sharp. Interestin
 gly\, for this process\, sharpness of the phase transition does not imply 
 exponential decay of connection probabilities in the subcritical regime\, 
 and its meaning depends on the&nbsp\; law of the radii. In this talk\, we 
 will focus on this specific feature of Boolean percolation.  This talk is 
 based on a joint work with H. Duminil-Copin and A. Raoufi.<br>
LOCATION:Seminar Room 1\, Newton Institute
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