Evolution Algebras and their Applications [electronic resource] / by Jianjun Paul Tian.
Material type: TextSeries: Lecture Notes in Mathematics ; 1921Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Description: XI, 133 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540742845Subject(s): Mathematics | Algebra | Biology -- Mathematics | Distribution (Probability theory) | Mathematics | General Algebraic Systems | Non-associative Rings and Algebras | Probability Theory and Stochastic Processes | Mathematical Biology in GeneralAdditional physical formats: Printed edition:: No titleDDC classification: 512 LOC classification: QA150-272Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1870 |
Motivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics.
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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