Let Omega be a convex body in R^d and assume that partialOmega is smooth with everywhere positive Gaussian curvature except for one flat point of order gamma>=2. We consider the L^p norm of the discrepancy with respect to translations and rotations of a dilated copy of the set Ω.
Discrepancy of a convex set with zero curvature at one point
Gariboldi, Bianca
2020-01-01
Abstract
Let Omega be a convex body in R^d and assume that partialOmega is smooth with everywhere positive Gaussian curvature except for one flat point of order gamma>=2. We consider the L^p norm of the discrepancy with respect to translations and rotations of a dilated copy of the set Ω.File in questo prodotto:
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