The Bernstein Problem in Mathematical Genetics and Bernstein Algebras

  • Yu. I. Lyubich
Part of the Mathematics and Its Applications book series (MAIA, volume 303)

Abstract

The Bernstein problem is to explicitly describe all quadratic evolutionary operators V such that V 2 = V. It is equivalent to the description of all stochastic Bernstein algebras. We present our results in this direction.

Keywords

Conservative Case Bernstein Problem Convexity Argument Mathematical Genetic Biological Heredity 
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References

  1. 1.
    Yuri I. Lyubich, Mathematical Structures in Population Genetics. Biomathematics, v. 22, Springer-Verlag, Berlin - Heidelberg, 1992.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Yu. I. Lyubich
    • 1
  1. 1.TechnionHaifaIsrael

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