On the Convergence of Sampling Measures in the Global Genetic Search

The paper contains a simple observation that allows to recognize specific subsets in the admissible domain D, by using the measure on D transported from the space of states of the Simple Genetic Algorithm (SGA). The particular sets which are recognized may be the central parts of level sets or the central parts of basins of attraction of fitness. The measure transport method can be extended to the group of algorithms for which the "heuristic operator" can be effectively defined.