Mutations and Card Shuffling
- đ¤ Speaker: Richard Pymar (University of Cambridge)
- đ Date & Time: Thursday 10 February 2011, 15:15 - 16:00
- đ Venue: CMS, MR4
Abstract
We consider the process of random transpositions of n particles on a circle, where transpositions only occur if the spacing is at most some number L = L(n). We look in particular at the evolution of parsimony distance used by biologists in the context of studying mutations in chromosomal structure. The proof relies on a comparison with a suitable spatial random graph and we discuss the importance of the appearance of its giant component.
Series This talk is part of the Statistical Laboratory Graduate Seminars series.
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Thursday 10 February 2011, 15:15-16:00