Physics – Mathematical Physics
Scientific paper
1998-05-11
Nucl.Phys.B529:737-762,1998
Physics
Mathematical Physics
26 pages
Scientific paper
10.1016/S0550-3213(98)00478-7
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.
Hameren Andre van
Kleiss Ronald
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