Evolution Algebras and their Applications / by Jianjun Paul Tian.

Format:

Book

Author/Creator:

Tian, Jianjun Paul, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1921.

Lecture Notes in Mathematics, 0075-8434 ; 1921

Language:

English

Subjects (All):

Algebra.

Distribution (Probability theory).

General Algebraic Systems.

Non-associative Rings and Algebras.

Probability Theory and Stochastic Processes.

Mathematical and Computational Biology.

Local Subjects:

Algebra.

General Algebraic Systems.

Non-associative Rings and Algebras.

Probability Theory and Stochastic Processes.

Mathematical and Computational Biology.

Physical Description:

1 online resource (XI, 133 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.

System Details:

text file PDF

Summary:

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.

Contents:

Motivations

Evolution Algebras

Evolution Algebras and Markov Chains

Evolution Algebras and Non-Mendelian Genetics

Further Results and Research Topics.

Other Format:

Printed edition:

ISBN:

9783540742845

Access Restriction:

Restricted for use by site license.