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


MSC:

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

Citations:

Zbl 0453.60098
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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
[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.