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en:group:seminars:20101214 [2010/11/16 13:19]
maatouk created
en:group:seminars:20101214 [2010/12/09 09:56]
maatouk
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-a+---- dataentry seminar ---- 
 +date_dt : 2010-12-14 
 +title : Detection and Percolation in Mobile Geometric Graphs 
 +speaker : Alexandre Stauffer 
 +affiliation : UC Berkeley. 
 +time : 16h15 
 +room : BC129 
 +table : seminars 
 +=================== 
 +template:​datatemplates:​seminar 
 +----------------------- 
 + 
 + 
 +==== abstract ==== 
 +Motivated by mobile wireless networks we consider ​random graph over 
 +R^2, where nodes perform independent Brownian motions and edges are 
 +kept between pairs of nodes within distance r of each other. Combining 
 +ideas from stochastic geometry, coupling and 
 +multi-scale analysis, we obtain precise asymptotics for detection (the 
 +time until a given target is within distance r to some node of the 
 +graph) and percolation (the time until a given node belongs to the 
 +infinite connected component of the graph). 
 +(This is a joint work with Yuval Peres, Alistair Sinclair and Perla Sousi.)