Title: Randomized Gossip Algorithms for Distributed Computation Speaker: Devavrat Shah Place: 32-G531, Stata Center Time: 1-2:30 pm Date: Friday, October 6, 2006 Abstract: Recently emerging networks such as peer-to-peer, sensor and adhoc networks require the algorithms operating within them to be totally distributed and robust against changes in the topology. Motivated by these concerns, in this talk I will speak about randomized gossip algorithms where nodes make distributed decisions based on local random operations. In the first half of the talk, I will present a simple gossip algorithm for counting number of nodes in a network in a totally distributed manner. This algorithm is built upon an extremal property of exponential random variables. We will discuss the dependence of the running time of algorithm on the network topology. In the later half of the talk, I will present two applications of this algorithm: (1) network scheduling and (2) (a class of) distributed optimization. The first half of the talk is based on a joint work with Damon Mosk-Aoyama (appeared in PODC 2006). The talk will be informal and I will appreciate audience participation.