We study fading random evolutions in multidimensional spaces. By reducing multidimensional cases to the one-dimensional case, we calculate the limit distributions of fading evolutions for some semi-Markov media.
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A. O. Pohorui, “Stationary distributions of fading evolutions,” Ukr. Mat. Zh., 61, No. 3, 425–431 (2009); English translation: Ukr. Math. J., 61, No. 3, 510–517 (2009).
I. V. Samoilenko, “Fading Markov random evolution,” Ukr. Mat. Zh., 54, No. 3, 364–372 (2002); English translation: Ukr. Math. J., 54, No. 3, 448–459 (2002).
A. A. Pogorui and R. M. Rodrigez-Dagnino, “Limiting distribution of fading evolution in some semi-Markov media,” Ukr. Mat. Zh., 61, No. 12, 1720–1724 (2009); English translation: Ukr. Math. J., 61, No. 12, 2016–2021 (2009).
W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York–London–Sydney (1966).
G. E. Shilov, Mathematical Analysis. Functions of Many Real Variables [in Russian], Nauka, Moscow (1972).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1577–1582, November, 2010.
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Pohorui, A.O. Fading evolutions in multidimensional spaces. Ukr Math J 62, 1828–1834 (2011). https://doi.org/10.1007/s11253-011-0472-5
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DOI: https://doi.org/10.1007/s11253-011-0472-5