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SUMMARY:On the stability of file-sharing systems - Norros I.\, (VTT Techni
 cal Research Centre of Finland)
DTSTART:20100219T150000Z
DTEND:20100219T160000Z
UID:TALK23333@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In a recent paper of Eichelsbacher and K{"o}nig (2008) the mod
 el of ordered random walks has been considered. There it has been shown th
 at\, under certain moment conditions\, one can construct a $k$-dimensional
  random walk conditioned to stay in a strict order at all times. Moreover\
 , they have shown that the rescaled random walk converges to the Dyson Bro
 wnian motion. In the present paper we find the optimal moment assumptions 
 for the construction of the conditional random walk and generalise the lim
 it theorem for this conditional process.\n
LOCATION:Seminar Room 1\, Newton Institute
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