Lie geometry of 2×2 Markov matrices

Journal of Theoretical Biology

Volumn 327, Issue , 2013, Pages 88-90

  Sumner, Jeremy G ^a  

^a UNIVERSITY OF TASMANIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; LETTER; LIE THEORY; MATHEMATICAL COMPUTING; MOLECULAR EVOLUTION; PHYLOGENY; PRIORITY JOURNAL; PROBABILITY; STOCHASTIC MODEL; THEORY;

ALGORITHMS; ANIMALS; EVOLUTION, MOLECULAR; MARKOV CHAINS; MODELS, GENETIC; PHYLOGENY;

EID: 84876071695     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2013.01.026     Document Type: Letter

References (7)

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2. House T. Lie algebra solution of population models based on time-inhomogeneous Markov chains. J. Appl. Probab. 2012, 49:472-481.
3. Johnson J.E. Markov-type Lie groups in GL(n, R). J. Math. Phys. 1985, 26:252-257.
4. Semple C., Steel M. Phylogenetics 2003, Oxford Press.
5. Stillwell.John. Naive Lie Theory, Undergraduate Texts in Mathematics 2008, Springer, New York.
6. Sumner J.G., Fernández-Sánchez J., Jarvis P.D. Lie Markov models. J. Theor. Biol. 2012, 298:16-31.
7. Sumner J.G., Jarvis P.D., Fernández-Sánchez J., Kaine B.T., Woodhams Michael D., R Holland B. Is the general time-reversible model bad for molecular phylogenetics?. Syst. Biol. 2012, 61:1069-1074.