Literature cited
R. Z. Khas'minskii, Stability of Systems of Differential Equations with Random Perturbations of Their Parameters [in Russian], Nauka, Moscow (1969).
T. E. Harris, “First passage and recurrence distributions,” Trans. Amer. Math. Soc.,73, 3, 471–486 (1952).
H. S. Wall, Analytic Theory of Continued Fractions, New York (1948).
I. J. Good, “Random motion and analytic continued fractions,” Proc. Cambr. Phil. Soc.,54, p. 1, 43–47 (1958).
J. Gillis, “Centrally biased discrete random walk,” Quart. J. Math.,2, 7, 144–152 (1956).
N. N. Lebedev, Special Functions and Their Applications, [in Russian], GITTL, Moscow (1959).
W. Feller, “Fluctuation theory of recurrent events,” Trans. Amer. Math. Soc.,67, 98–119 (1949).
Z. I. Sharagina, “Local limit theorems for some schemes of cyclic processes,” DAN SSSR,110 (1956).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 6, pp. 824–830, November–December, 1971.
The author wishes to thank A. V. Skorkhod, under whose direction this work was carried out.
Rights and permissions
About this article
Cite this article
Fal', A.M. Recurrence times for certain Markov random walks. Ukr Math J 23, 676–681 (1971). https://doi.org/10.1007/BF01085097
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085097