Evolution Algebras and their Applications (Lecture Notes in Mathematics): 1921 - Softcover

Tian, Jianjun Paul

 
9783540742838: Evolution Algebras and their Applications (Lecture Notes in Mathematics): 1921

Inhaltsangabe

The author explores evolution algebras, which lie between algebras and dynamical systems. Readers learn the foundations of evolution algebras theory and its applications in non-Mendelian genetics and Markov chains. They’ll also discover evolution algebras’ connections with other mathematical fields, including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the Ihara-Selberg zeta function.

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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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Weitere beliebte Ausgaben desselben Titels

9783540842422: Evolution Algebras and their Applications

Vorgestellte Ausgabe

ISBN 10:  354084242X ISBN 13:  9783540842422
Verlag: Springer, 2008
Softcover