<?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%">Abdallah Benaissa</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the exit problem of dynamic systems perturbed by a white noise</style></title><secondary-title><style face="normal" font="default" size="100%">AIP Conference Proceedings</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><volume><style face="normal" font="default" size="100%">1660</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&amp;nbsp; In this paper we are concerned with the exit time problem of a dynamic system perturbed by a&amp;nbsp;white noise,&amp;nbsp;in the case where the noiseless dynamics has a global&amp;nbsp;attractor&amp;nbsp;in a given domain. By the use of a singular&amp;nbsp;perturbation technique&amp;nbsp;and recent results on the asymptotic expansion of a class of Laplace-type integrals, new results concerning the problem under investigation will be presented. &amp;nbsp;</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue></record><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%">Abdallah Benaissa</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the exit problem of dynamic systems perturbed by a white noise</style></title><secondary-title><style face="normal" font="default" size="100%">AIP Conference Proceedings</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><volume><style face="normal" font="default" size="100%">1660</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
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	In this paper we are concerned with the exit time problem of a dynamic system perturbed by a&amp;nbsp;white noise,&amp;nbsp;in the case where the noiseless dynamics has a global&amp;nbsp;attractor&amp;nbsp;in a given domain. By the use of a singular&amp;nbsp;perturbation technique&amp;nbsp;and recent results on the asymptotic expansion of a class of Laplace-type integrals, new results concerning the problem under investigation will be presented.
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