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Asymptotic decomposition of the distribution of the number of recurrences of a random walk in the initial state

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Literature cited

  1. W. Feller, “Fluctuation theory of recurrent events,” Trans. Amer. Math. Soc.,67, 98–119 (1949).

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  2. R. V. Boiko, “Asymptotic decomposition of a particular functional of the simple random walk type,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 10 (1971).

  3. A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 1, Nauka, Moscow (1967).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    N. P. Slobodenyuk

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  1. N. P. Slobodenyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 58–65, January–February, 1973.

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Slobodenyuk, N.P. Asymptotic decomposition of the distribution of the number of recurrences of a random walk in the initial state. Ukr Math J 25, 46–52 (1973). https://doi.org/10.1007/BF01085391

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  • DOI: https://doi.org/10.1007/BF01085391

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