Quenched invariance principle for the Knudsen stochastic billiard in a random tube

@article{Comets2008QuenchedIP,
  title={Quenched invariance principle for the Knudsen stochastic billiard in a random tube},
  author={Francis Comets and Serguei Yu. Popov and Gunter M. Schutz and M. Vachkovskaia},
  journal={arXiv: Probability},
  year={2008}
}
We consider a stochastic billiard in a random tube which stretches to infinity in the direction of the first coordinate. This random tube is stationary and ergodic, and also it is supposed to be in some sense well behaved. The stochastic billiard can be described as follows: when strictly inside the tube, the particle moves straight with constant speed. Upon hitting the boundary, it is reflected randomly, according to the cosine law: the density of the outgoing direction is proportional to the… 

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