Expected n-Step Product for Gaussian Tours
Steven Finch
TL;DR
This paper extends previous work on integrals involving Euclidean distances among random points in multi-dimensional space, providing additional insights and supplements to earlier findings.
Contribution
It offers new supplements to Mehta & Normand's 1997 results on integrals related to Euclidean distances in Gaussian tours.
Findings
Enhanced formulas for Euclidean distance integrals
Deeper understanding of Gaussian tour properties
Extensions to n-step product calculations
Abstract
Supplements to Mehta & Normand (1997) are given, with regard to integrals involving Euclidean distances between n+1 random points in d-dimensional space, each visited once.
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Taxonomy
TopicsData Management and Algorithms · Computational Geometry and Mesh Generation · Stochastic processes and statistical mechanics