Tian Evolution Algebras and their Applications

Erscheinungsjahr 2007
ISBN: 978-3-540-74284-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1921, 133 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Tian, Jianjun Paul

Inhaltsverzeichnis

Motivations.- Evolution Algebras.- Evolution Algebras and Markov Chains.- Evolution Algebras and Non-Mendelian Genetics.- Further Results and Research Topics.