TY  - BOOK
AU  - Tian,Jianjun Paul
ED  - SpringerLink (Online service)
TI  - Evolution Algebras and their Applications
T2  - Lecture Notes in Mathematics,
SN  - 9783540742845
AV  - QA150-272 
U1  - 512 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Algebra
KW  - Biology
KW  - Distribution (Probability theory)
KW  - General Algebraic Systems
KW  - Non-associative Rings and Algebras
KW  - Probability Theory and Stochastic Processes
KW  - Mathematical Biology in General
N1  - Motivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-74284-5
ER  -