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On the convergence of genetic algorithms – a variational approach. (English) Zbl 1103.35025

The main aim of this paper is to study a variational approach to genetic algorithms with mutation and interactive selection. A variational approach provides the existence and uniqueness of stationary states and (exponential) stability of the genetic algorithms mentioned above.

MSC:

35J20 Variational methods for second-order elliptic equations
92D15 Problems related to evolution
92D10 Genetics and epigenetics
35A15 Variational methods applied to PDEs
60J25 Continuous-time Markov processes on general state spaces
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