Ergodic properties of random billiards driven by thermostats
Tanya Yarmola





Abstract. 
We consider steady states for a class of mechanical particle
systems driven by thermostats at possibly unequal temperatures.
We show that the steady state exists, is unique and absolutely continuous
with respect to the Liouville measure. In addition, for an appropriate
discrete dynamics, reasonable initial distributions converge to the
unique steady state exponentially fast.