# Evolution Algebras and their Applications

- 34 Citations
- 4 Mentions
- 4.3k Downloads

Part of the Lecture Notes in Mathematics book series (LNM, volume 1921)

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- 34 Citations
- 4 Mentions
- 4.3k Downloads

Part of the Lecture Notes in Mathematics book series (LNM, volume 1921)

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.

Algebraic structure Group theory Lie algebra Probability theory algebra biology genetics theory of evolution

- DOI https://doi.org/10.1007/978-3-540-74284-5
- Copyright Information Springer-Verlag Berlin Heidelberg 2008
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Print ISBN 978-3-540-74283-8
- Online ISBN 978-3-540-74284-5
- Series Print ISSN 0075-8434
- Buy this book on publisher's site