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Periodic Lorentz gas with small scatterers

We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time n tends to infinity, the scatterer size [Formula: see text] may also tend to zero simultaneously at a sufficiently slow pace. In particular we obtain a non-standard Central Limit Theorem as well as a Local Limit The...

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Detalles Bibliográficos
Autores principales: Bálint, Péter, Bruin, Henk, Terhesiu, Dalia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10169905/
https://www.ncbi.nlm.nih.gov/pubmed/37181495
http://dx.doi.org/10.1007/s00440-023-01197-6