Stannat, Wilhelm On the convergence of genetic algorithms – a variational approach. (English) Zbl 1103.35025 Probab. Theory Relat. Fields 129, No. 1, 113-132 (2004). 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. Reviewer: Messoud A. Efendiev (Berlin) Cited in 3 Documents 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 Keywords:stationary state; exponential stability; mutations of pure jump type; mutations of ultracontractive type; linear self-adjoint operator PDFBibTeX XMLCite \textit{W. Stannat}, Probab. Theory Relat. Fields 129, No. 1, 113--132 (2004; Zbl 1103.35025) Full Text: DOI