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Most quasi-Monte Carlo research focuses on sampling from the unit
cube. Many problems, especially in computer graphics, are de ned via
quadrature over the unit triangle. Quasi-Monte Carlo methods fo...
Abstract: We define a version of multiplier ideals, the Mather multiplier ideals, on a variety with arbitrary singularities, using the Mather discrepancy and the Jacobian ideal. In this context we pro...
Exponential Riesz bases, discrepancy of irrational rotations and BMO
Exponential Riesz bases discrepancy of irrational rotations BMO
2010/12/3
Matei and Meyer proved that ‘simple quasicrystals’ are universal sets of sampling and interpolation for signals with a band-limited spectrum. We ask if the corresponding exponential system is a univer...