A mean first passage time genome rearrangement distance

Francis, Andrew R.; and Wynn, Henry P.ORCID logo (2020) A mean first passage time genome rearrangement distance Journal of Mathematical Biology, 80 (6). pp. 1971-1992. ISSN 0303-6812
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This paper introduces a new way to define a genome rearrangement distance, using the concept of mean first passage time from probability theory. Crucially, this distance provides a genuine metric on genome space. We develop the theory and introduce a link to a graph-based zeta function. The approach is very general and can be applied to a wide variety of group-theoretic models of genome evolution.

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