U(1) × U(1) × U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes

Journal of Physics A: Mathematical and General

Volumn 37, Issue 8, 2004, Pages

  Bashford, J D ^a   Jarvis, P D ^a   Sumner, J G ^a   Steel, M A ^b  

^a UNIVERSITY OF TASMANIA   (Australia)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642374776     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/8/L01     Document Type: Article

References (12)

1. Kimura M 1981 Estimation of evolutionary distances between homologous nucleotide sequences Proc. Natl Acad. Sci. USA 78 454-8
2. Semple C and Steel M 2003 Phylogenetics (Oxford Lecture Series in Mathematics and Applications vol 24) (Oxford: Oxford University Press)
3. Steel M, Hendy M D and Penny D 1998 Reconstructing phylogenies from nucleotide pattern probabilities: a survey and some new results Discr. Appl. Math. 88 367-96
4. Székely L, Steel M A and Erdös P L 1993 Fourier calculus on evolutionary trees Adv. Appl. Math. 14 200-16
5. Hendy M D, Penny D and Steel M A 1994 Discrete Fourier analysis for evolutionary trees Proc. Natl Acad. Sci. USA 91 3339-43
6. Evans S N and Speed T P 1993 Invariants of some probability models used in phylogenetic inference Ann. Stat. 21 355-77
7. Jarvis P D and Bashford J D 2001 Quantum field theory and phylogenetic branching J. Phys. A: Math. Gen. 34 L703-7
8. Rodriguez F, Oliver J L, Marin A and Medina J R 1990 The general stochastic model of nucleotide substitution J. Theor. Biol. 142 485-501
9. Farris J S 1973 A probability model for inferring evolutionary trees Syst. Zool. 22 250-6
10. Cavender J A 1978 Taxonomy with confidence Math. Biosci. 40 271-80
11. Chor B, Hendy M D, Holland B R and Penny D 2000 Multiple maxima of likelihood in phylogenetic trees: an analytic approach Mol. Biol. Evol. 17 1529-1541
12. Jarvis P D, Bashford J D and Sumner J G in preparation