Repozytorium publikacji - Politechnika Gdańska

We study different types of limit behavior of quadratic stochastic operators acting on ℓ^1 (or ℓ^1_d) spaces in both strong and uniform topologies. The main motif of the paper is to express the uniform and strong asymptotic stability of the quadratic stochastic operator in terms of convergence of the associated (linear) nonhomogeneous Markov chain. We also examine which type of uniform convergence of iterates of the quadratic stochastic operator is prevalent.

Autorzy

• prof. dr hab. inż. Wojciech Bartoszek link otwiera się w nowej karcie ,
• dr inż. Małgorzata Pułka link otwiera się w nowej karcie