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

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.

Cited by in corpus (1)

• The Characteristic Function of the Renormalized Intersection Local Time of the Planar Brownian Motion