Abstract
By using local visiting measures, we describe the limit behavior of a sequence of iterations with random unequally distributed perturbations. As a corollary, we obtain a version of the local ergodic theorem.
References
A. A. Dorogovtsev, “Some characteristics of sequences of iterations with random perturbations,”Ukr. Mat. Zh.,48, No. 8, 1047–1063 (1996).
A. A. Dorogovtsev and N. A. Denisievskii, “Pathwise behavior of stationary sequences,”Theor. Stochast. Processes,2 (18), No. 3-4, 17–26 (1996).
Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 123–127, January, 1999.
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Dorogovtsev, A.A. Visiting measures and an ergodic theorem for a sequence of iterations with random perturbations. Ukr Math J 51, 134–139 (1999). https://doi.org/10.1007/BF02591922
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DOI: https://doi.org/10.1007/BF02591922