<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MEIHUA DONG</style></author><author><style face="normal" font="default" size="100%">SANGJIN KIM</style></author><author><style face="normal" font="default" size="100%">JIANDONG YIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GROUP ACTIONS WITH TOPOLOGICALLY STABLE MEASURES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37C85</style></keyword><keyword><style  face="normal" font="default" size="100%">54H20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/27/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We prove that if an action $T$ of a finitely generated group $G$ on a compact metric space $X$ is measure expansive and has the measure shadowing property then it is measure topologically stable. This represents a measurable version of the main result in [4]. Moreover we prove that if $G$ is a finitely generated virtually nilpotent group and there exists $g \in G$ such that $T_g$ is expansive and has the invariant measure shadowing property then $T$ is invariant measure topologically stable. Finally we show that minimal actions approximated by periodic ones have no topologically stable measures.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">185</style></section></record></records></xml>