QUANTUM-FIELD THEORY FOR DISCREPANCIES

Authors
VANHAMEREN A KLEISS R
Citation
A. Vanhameren et R. Kleiss, QUANTUM-FIELD THEORY FOR DISCREPANCIES, Nuclear physics. B, 529(3), 1998, pp. 737-762
Citations number
20
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
529
Issue
3
Year of publication
1998
Pages
737 - 762
Database
ISI
SICI code
0550-3213(1998)529:3<737:QTFD>2.0.ZU;2-R
Abstract
The concept of discrepancy plays an important role in the study of uni formity properties of point sets. For sets of random points, the discr epancy is a random variable. We apply techniques from quantum field th eory to translate the problem of calculating the probability density o f (quadratic) discrepancies into that of evaluating certain path integ rals. Both their perturbative and non-perturbative properties are disc ussed. (C) 1998 Elsevier Science B.V.