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SUMMARY:Coalescing systems of non-Brownian particles - Arnab Sen (Cambridg
 e)
DTSTART:20101102T163000Z
DTEND:20101102T173000Z
UID:TALK26754@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:\nA well-known result of Arratia shows that one can make rigor
 ous the notion of starting an independent Brownian motion at every point o
 f an arbitrary closed subset of the real line and then building a set-valu
 ed process by requiring particles to coalesce when they collide. Arratia n
 oted that the value of this process will be almost surely a locally finite
  set at all positive times\, and a finite set almost surely if the startin
 g set is compact. We investigate whether such instantaneous coalescence st
 ill occurs for coalescing systems of particles where either the state spac
 e of the individual particles is not locally homeomorphic to an interval o
 r the sample paths of the individual particles are discontinuous. We show 
 that Arratia's conclusion is valid for Brownian motions on the Sierpinski 
 gasket and for stable processes on the real line with stable index greater
  than one. Joint work with Steve Evans and Ben Morris. \n\n\nhttp://www.st
 atslab.cam.ac.uk/Dept/People/sen.html
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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