# Sub-exponential mixing of random billiards driven by thermostats

@article{Yarmola2013SubexponentialMO, title={Sub-exponential mixing of random billiards driven by thermostats}, author={Tatiana Yarmola}, journal={Nonlinearity}, year={2013}, volume={26}, pages={1825 - 1837} }

We study the class of open continuous-time mechanical particle systems introduced in the paper by Khanin and Yarmola (2013 Commun. Math. Phys. 320 121–47). Using the discrete-time results from Khanin and Yarmola (2013 Commun. Math. Phys. 320 121–47) we demonstrate rigorously that, in continuous time, a unique steady state exists and is sub-exponentially mixing. Moreover, all initial distributions converge to the steady state and, for a large class of initial distributions, convergence to the…

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