Evolution Algebras and their Applications
Autor: | Tian, Jianjun Paul |
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EAN: | 9783540742838 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 148 |
Produktart: | Kartoniert / Broschiert |
Veröffentlichungsdatum: | 18.10.2007 |
Schlagworte: | Algebra Dynamisches System Markowsche Kette - Markov Chain |
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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.