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＜電子ブック＞
Evolution Algebras and their Applications / by Jianjun Paul Tian
(Lecture Notes in Mathematics. ISSN:16179692 ; 1921)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XI, 133 p : online resource
著者標目	*Tian, Jianjun Paul author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Universal algebra LCSH:Nonassociative rings LCSH:Probabilities LCSH:Biomathematics FREE:Algebra FREE:General Algebraic Systems FREE:Non-associative Rings and Algebras FREE:Probability Theory FREE:Mathematical and Computational Biology
一般注記	Motivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics 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 HTTP:URL=https://doi.org/10.1007/978-3-540-74284-5

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