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University of Cambridge > Talks.cam > Optimization and Incentives Seminar > Large clusters as rare events, their simulation and connection to critical percolation

## Large clusters as rare events, their simulation and connection to critical percolationAdd to your list(s) Download to your calendar using vCal - Andrei Bejan, Computer Laboratory.
- Wednesday 27 May 2009, 16:00-17:00
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Sarah Lilienthal. Inference and optimal design problems for finite clusters from
percolation on the integer lattice Z (i) The observations consist of the set of sites which are ever infected, so that the routes by which infections travel are not observed (in terms of the bond percolation process, this corresponds to a knowledge of the connected component containing the initially infected site—-the location of this site within the component not being relevant to inference for p). (ii) All that is observed is the We discuss practical aspects of Bayesian utility-based optimal designs for the former scenario and prove that the sequence of MLE ’s for p converges to the critical percolation probability p_c under the latter scenario (when the size of the finite cluster grows). This is a joint work with Professor Gavin Gibson and Dr Stan Zachary, both with Heriot-Watt University, Edinburgh. This talk is part of the Optimization and Incentives Seminar series. ## This talk is included in these lists:- All CMS events
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