Evolution Algebras and Their Applications

Evolution Algebras and Their Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 136
Release :
ISBN-10 : 9783540742838
ISBN-13 : 3540742832
Rating : 4/5 (832 Downloads)

Book Synopsis Evolution Algebras and Their Applications by : Jianjun Paul Tian

Download or read book Evolution Algebras and Their Applications written by Jianjun Paul Tian and published by Springer Science & Business Media. This book was released on 2008 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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