Quantum field theory for discrepancies II: 1/N corrections using fermions

preprint1999arXivOpen access

Abstract

We calculate the 1/N corrections to the probability distributions of quadratic discrepancies for sets of N random points. This is achieved by the introduction of fermionic variables. We give the diagrammatic expansion up to and including the second order in 1/N. For some discrepancies, we give the explicit expansion to first order.

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