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On the convergence of genetic algorithms – a variational approach
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  • Published: 02 February 2004

On the convergence of genetic algorithms – a variational approach

  • Wilhelm Stannat1 

Probability Theory and Related Fields volume 129, pages 113–132 (2004)Cite this article

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Abstract.

A variational approach is introduced to study the existence and uniqueness of stationary states and (exponential) stability of genetic algorithms with mutation and interactive selection.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501, Bielefeld, Germany

    Wilhelm Stannat

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  1. Wilhelm Stannat
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Correspondence to Wilhelm Stannat.

Additional information

Mathematics Subject Classification (2000): 35J20 (90C30, 92D25, 35J60, 31C25)

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Cite this article

Stannat, W. On the convergence of genetic algorithms – a variational approach. Probab. Theory Relat. Fields 129, 113–132 (2004). https://doi.org/10.1007/s00440-003-0330-y

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  • Received: 02 September 2003

  • Revised: 25 November 2003

  • Published: 02 February 2004

  • Issue Date: May 2004

  • DOI: https://doi.org/10.1007/s00440-003-0330-y

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Keywords

  • Genetic Algorithm
  • Stationary State
  • Variational Approach
  • Interactive Selection
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