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Mutations and Card Shuffling

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If you have a question about this talk, please contact Elena Yudovina.

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.

This talk is part of the Statistical Laboratory Graduate Seminars series.

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