Fourier analysis and phylogenetic trees. (English) Zbl 1063.92038
Rockmore, Daniel N. (ed.) et al., Modern signal processing. Cambridge: Cambridge University Press (ISBN 0-521-82706-X/hbk). Mathematical Sciences Research Institute Publications 46, 117-136 (2004).
Summary: We give an overview of phylogenetic invariants: a technique for reconstructing evolutionary family trees from DNA sequence data. This method is useful in practice and is based on a number of simple ideas from elementary group theory, probability, linear algebra, and commutative algebra.
For the entire collection see [Zbl 1052.94002].
For the entire collection see [Zbl 1052.94002].
MSC:
| 92D15 | Problems related to evolution |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 65T50 | Numerical methods for discrete and fast Fourier transforms |
| 42A99 | Harmonic analysis in one variable |
| 13P10 | Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) |
| 20K01 | Finite abelian groups |
