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math-ph2015★ 1 cited
Invariance principle for the periodic Lorentz gas in the Boltzmann-Grad limit
Jens Marklof, Balint Toth
In earlier work we showed that the particle displacement for the multidimensional periodic Lorentz gas, in the limit of low scatterer density (Boltzmann-Grad limit), satisfies a ce…
math-ph2014
Superdiffusion in the periodic Lorentz gas
Jens Marklof, Balint Toth
We prove a superdiffusive central limit theorem for the displacement of a test particle in the periodic Lorentz gas in the limit of large times and low scatterer densities (Bol…