Effects of randomization on asymptotic periodicity of nonsingular transformations
Dynamical Systems
2016-11-16 v7
Abstract
It is known that the Perron--Frobenius operators of piecewise expanding transformations possess an asymptotic periodicity of densities. On the other hand, external noise or measurement errors are unavoidable in practical systems; therefore, all realistic mathematical models should be regarded as random iterations of transformations. This paper aims to discuss the effects of randomization on the asymptotic periodicity of densities.
Keywords
Cite
@article{arxiv.1409.3649,
title = {Effects of randomization on asymptotic periodicity of nonsingular transformations},
author = {Hiroshi Ishitani and Kensuke Ishitani},
journal= {arXiv preprint arXiv:1409.3649},
year = {2016}
}
Comments
20 pages, 10 figures