Lorentz Process with shrinking holes in a wall

Details Lorentz Process with shrinking holes in a wall Lorentz Process with shrinking holes in a wall

2011-11-26

arxiv.org/abs/1111.6193v1

Mathematics

Dynamical Systems

Scientific paper

We ascertain the diffusively scaled limit of a periodic Lorentz process in a
strip with an almost reflecting wall at the origin. Here, almost reflecting
means that the wall contains a small hole waning in time. The limiting process
is a Quasi-reflected Brownian Motion, which is Markovian but not strong
Markovian.

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