ON THE BEHAVIOUR OF SOME PROBABILISTIC CHARACTERISTICS OF THE OUTPUT OF MULTIDIMENSIONAL RANDOM WALK FROM EXPANDING SETS

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American Journals Publishing

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This paper establishes an analog of the well-known theorem of P. J. Bickel and J. A. Yahav on the number of exits of a multidimensional random walk from expanding sets. This theorem and related problems are carried forward for the moment of the first exit.

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