Quantum field theory for discrepancies
van Hameren, A. ; Kleiss, R.
arXiv, 9805008 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-05-11
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Probability 
@article{9805008,
     author = {van Hameren, A. and Kleiss, R.},
     title = {Quantum field theory for discrepancies},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805008}
}

van Hameren, A.; Kleiss, R. Quantum field theory for discrepancies. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805008/