Evolution Algebras and their Applications

Jianjun Paul Tian

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English

Springer Verlag
01 November 2007

Mathematics & Sciences; Algebra

Series: Lecture Notes in Mathematics

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.

By: Jianjun Paul Tian
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v. 1921
Dimensions: Height: 235mm, Width: 155mm, Spine: 8mm
Weight: 454g
ISBN: 9783540742838
ISBN 10: 3540742832
Series: Lecture Notes in Mathematics
Pages: 142
Publication Date: 01 November 2007
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Reviews for Evolution Algebras and their Applications

From the reviews: <p> The book introduces a new class of nonassociative algebras, called evolution algebras, and discusses in detail many applications of evolution algebras in stochastic processes and genetics. a ] The book under review is suitable both for graduate students and researchers with interest in the theoretical biology, genetics, Markov process, graph theory, and nonassociative algebras and their applications. The text contains a clear, detailed and self-contained exposition of evolution algebras. (Fouad Zitan, Zentralblatt MATH, Vol. 1136 (14), 2008)