Prevalence problem in the set of quadratic stochastic operators acting on L1
Probability
2020-11-23 v2 Dynamical Systems
Abstract
This paper is devoted to the study of the problem of prevalence in the class of quadratic stochastic operators acting on the L1 space for the uniform topology. We obtain that the set of norm quasi-mixing quadratic stochastic operators is a dense and open set in the topology induced by a very natural metric. This shows the typical long-term behaviour of iterates of quadratic stochastic operators.
Cite
@article{arxiv.1504.02850,
title = {Prevalence problem in the set of quadratic stochastic operators acting on L1},
author = {Krzysztof Bartoszek and Małgorzata Pułka},
journal= {arXiv preprint arXiv:1504.02850},
year = {2020}
}