Lecture Notes in Mathematics

Evolution Algebras and their Applications

Authors: Tian, Jianjun Paul

  • Explores the concept of evolution algebras, which lie between algebras and dynamical systems
  • Sets forth the foundations of evolution algebras theory and its applications in non-Mendelian genetics and Markov chains
  • Examines evolution algebras many connections with other mathematical fields
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About this book

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.

Reviews

From the reviews:

"The book introduces a new class of nonassociative algebras, called evolution algebras, and discusses in detail many applications of evolution algebras in stochastic processes and genetics. … The book under review is suitable both for graduate students and researchers with interest in the theoretical biology, genetics, Markov process, graph theory, and nonassociative algebras and their applications. The text contains a clear, detailed and self-contained exposition of evolution algebras."(Fouad Zitan, Zentralblatt MATH, Vol. 1136 (14), 2008)


Table of contents (6 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-74284-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-74283-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Evolution Algebras and their Applications
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1921
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-74284-5
DOI
10.1007/978-3-540-74284-5
Softcover ISBN
978-3-540-74283-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 133
Topics