Quadratic stochastic operators on Banach lattices
Michał BadochaDepartment of Probability and Biomathematics, Gdańsk University of Technology, ul. Narutowicza 11/12, 80 233, Gdańsk, PolandWojciech BartoszekDepartment of Probability and Biomathematics, Gdańsk University of Technology, ul. Narutowicza 11/12, 80 233, Gdańsk, Poland
2017en
ABI
Abstract
We study the convergence of iterates of quadratic stochastic operators that are mean monotonic. They are defined on the convex set of probability measures concentrated on a weakly compact order interval $$S = [0, f]$$ of a fixed Banach lattice F. We study their regularity and identify the limits of trajectories either as the “infimum” or “supremum” of the support of initial distributions.
Identifiers
Citations and references
Cited by 30 references