Monte Carlo simulation estimates intrinsic volumes in complex vector space, suggesting methods for further research.
This program estimates, via Monte Carlo (MC) simulation, the coefficients of the polynomial describing the volume of the ε-neighborhood of the complementarity polytope constructed from $(N+1)$ mutually orthogonal N-vertex simplices in RN²-1. Note that, in our paper, we use d in place of N, since it denotes the dimension of the original complex vector space Cᵈ. The main purpose of this program is to confirm our derived analytic formulas (Theorem 2 in the paper https://arxiv.org/abs/2511.11523) to several decimal places, and the code may be useful to other researchers for estimating further intrinsic volumes.
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Szilágyi, Zsombor (2025) studied this question.
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