Evolution Algebras and their Applications

Tian, Jianjun Paul

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.

Details

Published by: Springer

Publication Date: 2007-10-18

Format: Paperback

ISBN-13: 9783540742838

DOI: 10.1007/978-3-540-74284-5

Dimensions: 235.0cm x155.0cm

Pages: 133.0