Evolution Algebras and their Applications

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 dis...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tian, Jianjun Paul (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Lecture Notes in Mathematics, 1921
Temas:
Algebra.
Universal algebra.
Nonassociative rings.
Probabilities.
Biomathematics.
General Algebraic Systems.
Non-associative Rings and Algebras.
Probability Theory.
Mathematical and Computational Biology.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XI, 133 p. online resource.
ISBN:9783540742845
ISSN:1617-9692 ;

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