Evolution Algebras and their Applications

• Main Author: Tian, Jianjun Paul (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1921
• Subjects: 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.

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...

Table of Contents:

• Motivations
• Evolution Algebras
• Evolution Algebras and Markov Chains
• Evolution Algebras and Non-Mendelian Genetics
• Further Results and Research Topics.