International Centre for Theoretical Sciences - TIFR
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ICTS Colloquium
Title : Mean field interactions in a wireless local area network Speaker : Rajesh Sundaresan, ECE, IISc, Bangalore
Date : Wednesday, April 15, 2015 Time : 4:00 pm
Venue : ICTS Seminar Room, IISc Campus, Bangalore
Abstract : Performance analysis of wireless local area networks is often done by modeling the evolving interactions between nodes as coupled markov chains. I will highlight a continuous-time model where each chain reflects the stochastic evolution of one node over a finite number of states. The chains are coupled through the dependence of the instantaneous transition rates on the current empirical distribution of the nodes across the different states, also called spatial distribution. I will then discuss some asymptotic results on the empirical distribution of the nodes in path space and the flow of the spatial distribution over time, in the limit of a large number of nodes.
The asymptotics will be that of large deviations from the respective limit laws. The talk will be based on joint work with Vivek S. Borkar.
Biography
Rajesh Sundaresan is an associate professor at IISc's ECE department. He received his B.Tech in 1994 (IIT Madras), M.A. in 1996 (Princeton University), Ph.D. in 1999 (Princeton University), worked on modem design and development from 1999-2005 (Qualcomm Inc.), and was a visiting fellow during 2012-2013 (University of Illinois at Urbana Champaign). His interests are in network algorithms and information theory.
