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<i>U</i>(1) ×<i>U</i>(1) ×<i>U</i>(1) symmetry of the Kimura 3ST model and phylogenetic branching processes
An analysis of the Kimura 3ST model of DNA sequence evolution is given on the basis of its continuous Lie symmetries. The rate matrix commutes with a U(1)xU(1)xU(1) phase subgroup of the group GL(4) of 4x4x4 invertible complex matrices acting on a linear space spanned by the 4 nucleic acid …