Abstract
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 the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.
-
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AUTHOR = {B{á}lint, P{é}ter and T{ó}th, Imre P{é}ter},
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@article {Boca07, MRKEY = {2274553},
AUTHOR = {Boca, Florin P. and Zaharescu, Alexandru},
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MRCLASS = {37A25 (11B57 37A60 37D50 82C05 82C40)},
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AUTHOR = {Boldrighini, C. and Bunimovich, L. A. and Sinai, Ya. G.},
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@incollection {Golse06, MRKEY = {2275676},
AUTHOR = {Golse, Fran{ç}ois},
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author = {Marklof, Jens and Str{ö}mbergsson, Andreas},
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}
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