On the Lebesgue nonlinear transformations
Dynamical Systems
2016-01-11 v1
Abstract
In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesgue quadratic stochastic operator on the set of all Lebesgue measures of the set [0,1]. Namely, we prove the regularity of the Lebesgue quadratic stochastic operators
Cite
@article{arxiv.1601.01757,
title = {On the Lebesgue nonlinear transformations},
author = {Nasir Ganikhodjaev and Mansoor Saburov and Ramazon Muhitdinov},
journal= {arXiv preprint arXiv:1601.01757},
year = {2016}
}
Comments
11 pages