Jamilov, U. U. Cubic operators corresponding to graphs. (English) Zbl 1419.47006 Nonlinear Dyn. Syst. Theory 16, No. 3, 294-299 (2016). Summary: We introduce a notion of a cubic stochastic operator corresponding to a graph. We prove that each such operator has a unique fixed point. Besides, it is shown that any trajectory of such cubic stochastic operator exponentially rapidly converges to this fixed point. Cited in 2 Documents MSC: 47H40 Random nonlinear operators 17D92 Genetic algebras 47B80 Random linear operators Keywords:quadratic stochastic operator; cubic stochastic operator; Volterra and non-Volterra operators PDFBibTeX XMLCite \textit{U. U. Jamilov}, Nonlinear Dyn. Syst. Theory 16, No. 3, 294--299 (2016; Zbl 1419.47006) Full Text: Link