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  <title><![CDATA[MS defense by Lukas Hauger]]></title>
  <body><![CDATA[<p>Lukas Hauger<br />
(Advisor: Prof. Michael Loss)<br />
will defend a master&rsquo;s thesis entitled,<br />
Decay of Entropy and Information of multidimensional Kac Models coupled to large systems<br />
On<br />
Tuesday, November 23 at 9:00 a.m.<br />
BlueJeans: https://bluejeans.com/976233951/0823<br />
Abstract<br />
We study the approach to equilibrium in relative entropy of systems of gas particles modeled via the Kac master equation in arbitrary dimensions. First, we study the Kac system coupled to a thermostat, and secondly connected to a heat reservoir. The use of the Fisher-information allows simple proofs with weak regularity assumptions. As a result, we obtain exponential decay rates for the entropy and information that are essentially independent of the size of the systems.<br />
Committee<br />
&bull; Prof. Michael Loss &ndash; School of Mathematics, Georgia Institute of Technology (Advisor)<br />
&bull; Prof. Federico Bonetto &ndash; School of Mathematics, Georgia Institute of Technology<br />
&bull; Prof. Rudolf Hilfer &ndash; Institute for Computational Physics, University of Stuttgart</p>
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