Evolution Algebras and their Applications
Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
| Autor: | Tian, Jianjun Paul |
|---|---|
| ISBN: | 9783540742838 |
| Sprache: | Englisch |
| Seitenzahl: | 133 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 18.10.2007 |
| Schlagworte: | Algebraic structure Group theory Lie algebra Probability theory algebra biology genetics theory of evolution |