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

D. Hoef

2006, v.12, Issue 3, 537-560


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.

Keywords: multiple point range of a random walk,range of a random walk,multiple points


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