BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Space-time percolation and detection by mobile nodes -  Alexandre 
 Stauffer (Microsoft Research)
DTSTART:20121009T153000Z
DTEND:20121009T163000Z
UID:TALK40341@talks.cam.ac.uk
CONTACT:12974
DESCRIPTION:Consider a Poisson point process of intensity \\lambda in R^d.
  We denote\nthe points as nodes and let each node move as an independent B
 rownian\nmotion. Consider a target particle that is initially placed at th
 e origin\nat time 0 and can move according to any continuous function. We 
 say that\nthe target is detected at time t if there exists at least one no
 de within\ndistance 1 of the target at time t. We show that if \\lambda is
 \nsufficiently large\, the target will eventually be detected even if\nits
  motion can depend on the past\, present and future positions of the\nnode
 s. In the proof we use coupling and multi-scale analysis to model\nthis ev
 ent as\na fractal percolation process and show that a good event percolate
 s in\nspace and time.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
END:VEVENT
END:VCALENDAR