Planar Lorentz process in a random scenery (Q731738)
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scientific article; zbMATH DE number 5611491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Planar Lorentz process in a random scenery |
scientific article; zbMATH DE number 5611491 |
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Planar Lorentz process in a random scenery (English)
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8 October 2009
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The paper deals with the periodic planar Lorentz process with convex obstacles and with finite horizon where a particle moves freely between obstacles with elastic reflection from them. The random scenery is given by iid random variables each of them associated to one obstacle. The author proves a convergence in distribution to the Wiener process of the total displacement of the particle normalized by \(\sqrt {n\log n}\) as \(n\) goes to infinity.
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Lorentz process
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finite horizon
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random scenery
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limit theorem
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billiard
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infinite measure
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