Recurrence Properties of Planar Lorentz Process

@inproceedings{Dolgopyat2010RecurrencePO,
  title={Recurrence Properties of Planar Lorentz Process},
  author={Dmitry Dolgopyat and Domokos Sz{\'a}sz and Tam{\'a}s Varj{\'u}},
  year={2010}
}
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatterers. Their asymptotic behavior is analogous to the asymptotic behavior of the same quantities for the 2-d simple symmetric random walk (cf. classical results of Darling-Kac, 1957 and of Erdős-Taylor, 1960). Moreover, asymptotical distributions for phases in first hittings and in first intersections of Lorentz processes are… CONTINUE READING

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