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Evolution Algebras and their Applications

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eBook details

  • Title: Evolution Algebras and their Applications
  • Author : Jianjun Paul Tian
  • Release Date : January 24, 2007
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 1823 KB

Description

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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