TY - BOOK ID - 7763957 TI - Evolution algebras and their applications PY - 2008 SN - 3540742832 3540742840 PB - Berlin, Germany ; New York, New York : Springer, DB - UniCat KW - Banach algebras KW - Genetic algebras KW - Nonassociative algebras KW - Markov processes KW - Phytophthora infestans KW - Stochastic processes KW - Algebra KW - Calculus KW - Mathematics KW - Physical Sciences & Mathematics KW - Genetics KW - Banach algebras. KW - Genetic algebras. KW - Nonassociative algebras. KW - Markov processes. KW - Stochastic processes. KW - Algebra. KW - Genetics. KW - Random processes KW - Botrytis fallax KW - Botrytis infestanus KW - Botrytis solani KW - Peronospora fintelmannii KW - Peronospora infestans KW - Peronospora trifurcata KW - Phytophthora thalictri KW - Potato late blight agent KW - Potato late blight fungus KW - Analysis, Markov KW - Chains, Markov KW - Markoff processes KW - Markov analysis KW - Markov chains KW - Markov models KW - Models, Markov KW - Processes, Markov KW - Algebras, Non-associative KW - Algebras, Nonassociative KW - Non-associative algebras KW - Algebras, Genetic KW - Algebras, Banach KW - Banach rings KW - Metric rings KW - Normed rings KW - Mathematics. KW - Nonassociative rings. KW - Rings (Algebra). KW - Probabilities. KW - Biomathematics. KW - General Algebraic Systems. KW - Non-associative Rings and Algebras. KW - Probability Theory and Stochastic Processes. KW - Mathematical and Computational Biology. KW - Mathematical analysis KW - Probability KW - Statistical inference KW - Combinations KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Biology KW - Algebraic rings KW - Ring theory KW - Algebraic fields KW - Rings (Algebra) KW - Math KW - Science KW - Probabilities KW - Phytophthora KW - Algebra, Abstract KW - Algebras, Linear KW - Biomathematics KW - Banach spaces KW - Topological algebras KW - Distribution (Probability theory. KW - Distribution functions KW - Frequency distribution KW - Characteristic functions UR - https://www.unicat.be/uniCat?func=search&query=sysid:7763957 AB - 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. ER -