PREFACE :
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.
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