Quantum field theory for discrepancies
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Probability
Abstract
The concept of discrepancy plays an important role in the study of uniformity properties of point sets. For sets of random points, the discrepancy is a random variable. We apply techniques from quantum field theory to translate the problem of calculating the probability density of (quadratic) discrepancies into that of evaluating certain path integrals. Both their perturbative and non-perturbative properties are discussed.
Cite
@article{arxiv.math-ph/9805008,
title = {Quantum field theory for discrepancies},
author = {A. van Hameren and R. Kleiss},
journal= {arXiv preprint arXiv:math-ph/9805008},
year = {2008}
}
Comments
26 pages