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q-bio.PE2024
Joint identifiability of ancestral sequence, phylogeny and mutation rates under the TKF91 model
Alex Xue, Brandon Legried, Wai-Tong Louis Fan
We consider the problem of identifying jointly the ancestral sequence, the phylogeny and the parameters in models of DNA sequence evolution with insertion and deletion (indel). Und…
math.PR2024
Boundary-induced slow mixing for Markov chains and its application to stochastic reaction networks
Wai-Tong Louis Fan, Jinsu Kim, Chaojie Yuan
Markov chains on the non-negative quadrant of dimension are often used to model the stochastic dynamics of the number of entities, such as chemical species in stochasti…