Evolution Algebras and their Applications
Tian, Jianjun Paul.
Evolution Algebras and their Applications [electronic resource] / by Jianjun Paul Tian. - XI, 133 p. online resource. - Lecture Notes in Mathematics, 1921 0075-8434 ; . - Lecture Notes in Mathematics, 1921 .
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.
9783540742845
10.1007/978-3-540-74284-5 doi
Algebra.
Distribution (Probability theory.
Algebra.
General Algebraic Systems.
Non-associative Rings and Algebras.
Probability Theory and Stochastic Processes.
Mathematical and Computational Biology.
QA150-272
512
Evolution Algebras and their Applications [electronic resource] / by Jianjun Paul Tian. - XI, 133 p. online resource. - Lecture Notes in Mathematics, 1921 0075-8434 ; . - Lecture Notes in Mathematics, 1921 .
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.
9783540742845
10.1007/978-3-540-74284-5 doi
Algebra.
Distribution (Probability theory.
Algebra.
General Algebraic Systems.
Non-associative Rings and Algebras.
Probability Theory and Stochastic Processes.
Mathematical and Computational Biology.
QA150-272
512