Evolution Algebras and their Applications
Springer Berlin (Verlag)
978-3-540-74283-8 (ISBN)
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.
Motivations.- Evolution Algebras.- Evolution Algebras and Markov Chains.- Evolution Algebras and Non-Mendelian Genetics.- Further Results and Research Topics.
From the reviews:
"The book introduces a new class of nonassociative algebras, called evolution algebras, and discusses in detail many applications of evolution algebras in stochastic processes and genetics. ... The book under review is suitable both for graduate students and researchers with interest in the theoretical biology, genetics, Markov process, graph theory, and nonassociative algebras and their applications. The text contains a clear, detailed and self-contained exposition of evolution algebras."(Fouad Zitan, Zentralblatt MATH, Vol. 1136 (14), 2008)
| Erscheint lt. Verlag | 18.10.2007 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XI, 133 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 236 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • Algebraic Structure • Biology • Evolutionäre Algorithmen • genetic algebras • Genetics • graph theory • group theory • Lie algebra • markov chains • Mathematical Biology • MSC(2000): 08C92, 17D92, 60J10, 92B05, 05C62, 16G99 • non-associative algebras • Probability Theory • Theory of Evolution |
| ISBN-10 | 3-540-74283-2 / 3540742832 |
| ISBN-13 | 978-3-540-74283-8 / 9783540742838 |
| Zustand | Neuware |
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