Expansive Measures of Nonautonomous Iterated Function Systems

In this paper, we explore expansive measures and expansiveness within the context of nonautonomous iterated function systems. Specifically, we demonstrate that the set of expansive measures for any nonautonomous iterated function system forms a G delta sigma\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_{\delta \sigma }$$\end{document} subset of the set of all Borel measures.