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Visiting measures and an ergodic theorem for a sequence of iterations with random perturbations

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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.

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References

  1. A. A. Dorogovtsev, “Some characteristics of sequences of iterations with random perturbations,”Ukr. Mat. Zh.,48, No. 8, 1047–1063 (1996).

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  2. A. A. Dorogovtsev and N. A. Denisievskii, “Pathwise behavior of stationary sequences,”Theor. Stochast. Processes,2 (18), No. 3-4, 17–26 (1996).

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Authors
  1. A. A. Dorogovtsev
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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

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