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en:group:seminars:20101214 [2010/11/16 13:21]
maatouk
en:group:seminars:20101214 [2010/12/09 09:56]
maatouk
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 ---- dataentry seminar ---- ---- dataentry seminar ----
 date_dt : 2010-12-14 date_dt : 2010-12-14
-title : TBA+title : Detection and Percolation in Mobile Geometric Graphs
 speaker : Alexandre Stauffer speaker : Alexandre Stauffer
 affiliation : UC Berkeley. affiliation : UC Berkeley.
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 ==== abstract ==== ==== abstract ====
-TBA+Motivated by mobile wireless networks we consider a 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.)