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math-ph2008★ 29 cited
Kinetic transport in the two-dimensional periodic Lorentz gas
Jens Marklof, Andreas Strombergsson
The periodic Lorentz gas describes an ensemble of non-interacting point particles in a periodic array of spherical scatterers. We have recently shown that, in the limit of small sc…
math.DS2008
The Boltzmann-Grad limit of the periodic Lorentz gas
Jens Marklof, Andreas Strombergsson
We study the dynamics of a point particle in a periodic array of spherical scatterers, and construct a stochastic process that governs the time evolution for random initial data in…