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arXiv · 1312.0066

Distribution of the k-Multiple Point Range in the Closed Simple Random Walk I

Daniel Hoef
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Abstract

The distribution of the number of points of the closed simple random walk, visited a given number of times (the k-multiple point range) is analysed by a graph based approach. A general expression for the moments is derived. In this paper the joint generating function for dimension one is completely calculated and analysed for large lengths.

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Daniel Hoef. 2013-11-30. Distribution of the k-Multiple Point Range in the Closed Simple Random Walk I. https://arxiv.org/abs/1312.0066

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