Evolution Algebras and their Applications

von Jianjun Paul Tian

133 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540742838
• Sprache: Englisch
• Erscheinungsdatum: 18.10.2007
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin