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

Tian, Jianjun Paul

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

Inhaltsangabe

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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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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9783540842422: Evolution Algebras and their Applications

Vorgestellte Ausgabe

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