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Bunimovich, L. A.; Sinai, Ya. G.

Statistical properties of Lorentz gas with periodic configuration of scatterers. (English) Zbl 0459.60099

Commun. Math. Phys. 78, 479-497 (1981).
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Cited in 7 Reviews
Cited in 136 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F05 Central limit and other weak theorems
60F17 Functional limit theorems; invariance principles

Keywords:

Lorentz gas; central limit theorem; Donsker’s invariance principle; Markov partitions; dispersed billiards

Citations:

Zbl 0453.60098
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Full Text: DOI

References:

[1] Keller, G.: Diplomarbeit, Erlangen-Nürnberg 1977
[2] Bunimovich, L.A., Sinai, Ya.G.: Markov partitions for dispersed billiards. Commun. Math. Phys.77, 247–280 (1980) · Zbl 0453.60098 · doi:10.1007/BF01942372
[3] Doob, J.L.: Stochastic processes. New York: Wiley and Sons 1950
[4] Gnedenko, B.V., Kolmogorov, A.N.: Limit theorems for sums of independent random variables. Moscow: Gostehizdat (1947) · Zbl 0056.36001
[5] Billingsley, P.: Convergence of probability measures. New York: Wiley and Sons 1970 · Zbl 0944.60003
[6] Prohorov, Ju.V.: Theory of probabilities and its applications, Vol. 1, No. 2, p. 177 (1956)
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