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SUMMARY:Stability conditions for some random multiple-access protocols wit
 h spatial interactions - Seva Shneer\, Heriot-Watt University
DTSTART:20110307T143000Z
DTEND:20110307T153000Z
UID:TALK29453@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:We adopt the classical ALOHA scheme to the case when the trans
 missions in a multiple-access system create noise in a certain neighbourho
 od of the receiver. Two cases are considered: a discrete and a continuous 
 setting. We prove that the fluid limits of the systems' workload satisfy a
  certain differential equation and\, via an analysis of this differential 
 equation\, obtain conditions sufficient for the system to be stable. We al
 so discuss the behaviour of the fluid limits in the discrete case.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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