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SUMMARY:Percolation of random interlacements under small intensities - Aug
 usto Teixeira (ETH-Zürich)
DTSTART:20091202T160000Z
DTEND:20091202T170000Z
UID:TALK20518@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The model of random interlacements was recently introduced by 
 Alain-Sol Sznitman as a natural tool to understand the trace left by a ran
 dom walk in a discrete cylinder or in a discrete torus. In these contexts\
 , this model describes the microscopic "texture in the bulk" left by the r
 andom walk when it is let run up to certain time scales. In this talk we a
 re going to discuss some percolative properties of the vacant set of rando
 m interlacements under small intensities (e.g. the size of a finite vacant
  cluster). The results which will be presented could shed some light on pr
 oblems such as how a random walk trajectory disconnects a discrete cylinde
 r into two infinite connected components.
LOCATION:Newton Institute Gatehouse
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