Evolution Algebras and their Applications

• Κύριος συγγραφέας: Tian, Jianjun Paul (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Lecture Notes in Mathematics, 1921
• Θέματα: Mathematics.; Algebra.; Nonassociative rings.; Rings (Algebra).; Probabilities.; Biomathematics.; General Algebraic Systems.; Non-associative Rings and Algebras.; Probability Theory and Stochastic Processes.; Mathematical and Computational Biology.
• Φυσική περιγραφή: XI, 133 p. online resource.
• ISBN: 9783540742845
• ISSN: 0075-8434 ;

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.