Étude d'un processus d'auto-organisation. (Study of a self-organization process)
\textit{T. Kohonen} defined in Biol. Cybern. 43, 59-69 (1982; Zbl 0466.92002) a mathematical algorithm in order to modelize the biological phenomena called retinotopy: that is the self-organized formation of maps between retina and cortex preserving the topological structure of the retina. He observed the convergence of the algorithm by simulation and presented in ''Self-organization and associative memory'' (1984; Zbl 0528.68062) a sketch of proof. In this paper we prove the convergence toward an invariant distribution in the one-dimensional case.
scientific article; zbMATH DE number 3978885