R. Bramati

activity

20192026

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math.NT2026

Jittered sampling and probability measures

Roberto Bramati, Luca Brandolini, Giancarlo Travaglini

This paper investigates the discrepancy of a family of random sampling methods obtained by perturbing the grid $\frac{1}{M} Z^{d} \cap [- 1/2, 1/2)^{d}$ , where $M$ …

math.CA2026

Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study

Roberto Bramati, Luca Brandolini, Alessandro Monguzzi

We study $L^{2}$ -averaged discrepancies of finite sequences of points in the torus $T^{d}$ with respect to translated and dilated copies of convex bodies with non-smooth bound…