ENGLISH

Evolution algebras and their applications

By Jianjun Paul Tian (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
3540742832, 9783540742838
DOI
10.1007/978-3-540-74284-5
ISSN
0075-8434
Open Library ID
OL13638817M
Language
english
Format
PDF
Filesize
755 kB (773382 bytes)
Series
Lecture notes in mathematics 1921
Edition
1
Pages
133\135
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
General Algebraic Systems; Non-associative Rings a

Description

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.

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