<?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%">KY QUAN TRAN</style></author><author><style face="normal" font="default" size="100%">G. YIN</style></author><author><style face="normal" font="default" size="100%">LE YI WANG</style></author><author><style face="normal" font="default" size="100%">HANQIN ZHANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SINGULARLY PERTURBED MULTI-SCALE SWITCHING DIFFUSIONS</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%">35C20</style></keyword><keyword><style  face="normal" font="default" size="100%">35K45</style></keyword><keyword><style  face="normal" font="default" size="100%">60J35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</style></volume><pages><style face="normal" font="default" size="100%">21</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This work is concerned with singularly perturbed multi-scale switching diffusions. The switching process is a two-time-scale Markov chain with slow and fast components subject to weak and strong interactions. In the model, there are two small parameters ε and δ. The first one highlights the fast changing part of the switching process, and the other delineates the slow diffusion. We treat the case that ε and δ are related in that ε = δ γ . Under certain conditions, asymptotic expansions of the probability densities for the underlying processes are developed. The approach is constructive and the asymptotic series are rigorously justified with error bounds.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">153</style></section></record></records></xml>