2017
Том 69
№ 7

All Issues

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

Dorogovtsev A. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 1, pp 134-139.

Citation Example: Dorogovtsev A. A. Visiting measures and an ergodic theorem for a sequence of iterations with random perturbations // Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 123–127.

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