Deterministic and probabilistic discrepancies

DOI10.1007/s11512-008-0091-zzbMath1241.11089OpenAlexW2093285537MaRDI QIDQ1042558

William W. L. Chen, Giancarlo Travaglini

Publication date: 14 December 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-008-0091-z

zbMATH Keywords

discrepancyprobabilistic methodsdiscrepancy of lattice pointsdiscrepancy with respect to balls

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (8)

A characterization theorem for the \(L^{2}\)-discrepancy of integer points in dilated polygons ⋮ Discrepancy for randomized Riemann sums ⋮ Optimal jittered sampling for two points in the unit square ⋮ Discrepancy and numerical integration on metric measure spaces ⋮ Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces ⋮ Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey ⋮ On the discrepancy of jittered sampling ⋮ Upper Bounds in Classical Discrepancy Theory

Cites Work

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• Sequences, discrepancies and applications
• Irregularities of distribution. I
• Average decay of Fourier transforms and integer points in polyhedra
• On the Bethe-Sommerfeld conjecture for the polyharmonic operator.
• Note on Irregularities of Distribution II
• Area Estimation by Point-Counting Techniques
• On a lattice point problem arising in the spectral analysis of periodic operators

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