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References
Bhattacharya, R.N., Ranga Rao, R.: Normal Approximation & Asymptotic Expansions. New York: Wiley-Interscience 1976
Bunimovich, L.A., Sinai, Ya.G.: Markov partitions for dispersed billiards. Comm. Math. Phys. 78, 247–280 (1981)
Bunimovich, L.A., Sinai, Ya.G.: Statistical properties of Lorentz gas with periodic configuration of scatters. Comm. Math. Phys. 78, 479–497 (1981)
Feller, W.: An Introduction to Probability Theory and its Applications. Volume II. New York: Wiley 1966
Friedrichs, K.O.: Perturbation of Spectra in Hilbert Space. Providence: Amer. Math. Soc. 1965
Gantmacher, F.R.: Theory of Matrices. 3rd edition (in Russian). Moscow: Nauka 1967
Ibragimov, I.A., Linnik, Yu.V.: Independent and Stationarily Depending Variables (In Russian). Moscow: Nauka 1965
Kato, T.: Perturbation Theory for Linear Operators. 2nd edition. Berlin-Heidelberg-New York: Springer 1980
Sinai, Ya.G.: Random walks and some problems concerning Lorentz gas. Proceedings of the Kyoto Conference. 6–17 (1981)
Kolmogorov, A.N.: A local limit theorem for classical Markov chains. Izvesti'a Akad. Nauk SSSR. Ser. mat. 13, 281–300 (1949)
Statulevicius, V.A.: Limit theorems for sums of random variables connected through a Markov chain. Lietuvos Mat. Rinkinys 9, 346–362 (1969)
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Krámli, A., Szász, D. Random walks with internal degrees of freedom. Z. Wahrscheinlichkeitstheorie verw Gebiete 63, 85–95 (1983). https://doi.org/10.1007/BF00534179
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DOI: https://doi.org/10.1007/BF00534179