U(1) ×U(1) ×U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes
نویسندگان
چکیده
منابع مشابه
U(1)×U(1) ×U(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)×U(1)×U(1) phase subgroup of the group GL(4) of 4× 4 invertible complex matrices acting on a linear space spanned by the 4 nucleic acid base letters. The diagonal ‘branching operator’ representing speciation is defined, and shown to intertwine...
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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)×U(1)×U(1) phase subgroup of the group GL(4) of 4× 4 invertible complex matrices acting on a linear space spanned by the 4 nucleic acid base letters. The diagonal ‘branching operator’ representing speciation is defined, and shown to intertwine...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/8/l01