LEADER 02997nam 2200697 450 001 996466506103316 005 20210216153841.0 010 $a3-540-74284-0 024 7 $a10.1007/978-3-540-74284-5 035 $a(CKB)1000000000437251 035 $a(SSID)ssj0000317568 035 $a(PQKBManifestationID)11292432 035 $a(PQKBTitleCode)TC0000317568 035 $a(PQKBWorkID)10294055 035 $a(PQKB)11367619 035 $a(DE-He213)978-3-540-74284-5 035 $a(MiAaPQ)EBC3062149 035 $a(MiAaPQ)EBC6351857 035 $a(PPN)123739543 035 $a(EXLCZ)991000000000437251 100 $a20210216d2008 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEvolution algebras and their applications /$fJianjun Paul Tian 205 $a1st ed. 2008. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[2008] 210 4$dİ2008 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$0472515 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466506103316 996 $aEvolution algebras and their applications$9230591 997 $aUNISA