Evolution Algebras and their Applications (Lecture Notes in Mathematics)

Jianjun Paul Tian

ISBN 10: 3540742832 / ISBN 13: 9783540742838

Editore: Springer 2007-10-18, 2007

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Codice articolo 6666-IUK-9783540742838

Dati bibliografici

• Titolo: Evolution Algebras and their Applications (Lecture Notes in Mathematics)
• Editore: Springer 2007-10-18
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 3540742832
• ISBN 13: 9783540742838
• Rilegatura: Paperback
• Condizione: New

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Riassunto

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.