02999nam 2200697 450 991048404050332120210216153841.03-540-74284-010.1007/978-3-540-74284-5(CKB)1000000000437251(SSID)ssj0000317568(PQKBManifestationID)11292432(PQKBTitleCode)TC0000317568(PQKBWorkID)10294055(PQKB)11367619(DE-He213)978-3-540-74284-5(MiAaPQ)EBC3062149(MiAaPQ)EBC6351857(PPN)123739543(EXLCZ)99100000000043725120210216d2008 uy 0engurnn|008mamaatxtccrEvolution algebras and their applications /Jianjun Paul Tian1st ed. 2008.Berlin, Germany ;New York, New York :Springer,[2008]©20081 online resource (XI, 133 p.) Lecture notes in mathematics ;1921Bibliographic Level Mode of Issuance: Monograph3-540-74283-2 Includes bibliographical references (pages [119]-121) and index.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.Lecture notes in mathematics (Springer-Verlag) ;1921.Phytophthora infestansGeneticsStochastic processesNonassociative algebrasMarkov processesGenetic algebrasBanach algebrasAlgebraPhytophthora infestansGenetics.Stochastic processes.Nonassociative algebras.Markov processes.Genetic algebras.Banach algebras.Algebra.512.554Tian Jianjun Paul472515MiAaPQMiAaPQMiAaPQBOOK9910484040503321Evolution algebras and their applications230591UNINA