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200 10$aEvolution algebras and their applications /$fJianjun Paul Tian
205   $a1st ed. 2008.
210  1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[2008]
210  4$d©2008
215   $a1 online resource (XI, 133 p.) 
225 1 $aLecture notes in mathematics ;$v1921
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-74283-2 
320   $aIncludes bibliographical references (pages [119]-121) and index.
327   $aMotivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics.
330   $aBehind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1921.
606   $aPhytophthora infestans$xGenetics
606   $aStochastic processes
606   $aNonassociative algebras
606   $aMarkov processes
606   $aGenetic algebras
606   $aBanach algebras
606   $aAlgebra
615  0$aPhytophthora infestans$xGenetics.
615  0$aStochastic processes.
615  0$aNonassociative algebras.
615  0$aMarkov processes.
615  0$aGenetic algebras.
615  0$aBanach algebras.
615  0$aAlgebra.
676   $a512.554
700   $aTian$b Jianjun Paul$0472515
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