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Non-isotropic distance measures for lattice-generated sets
Iosevich, Alexander
Rudnev, Misha

Data: 2005
Resum: We study distance measures for lattice-generated sets in Rd, d [greater traan or equal] 3, with respect to non-isotropic distances $K , induced by smooth symmetric convex bodies K. An effective Fourier-analytic approach is developed to get sharp upper bounds for the second moment of the weighted distance measure. The implications of these estimates are discussed in the context of the general Erdos-Falconer distance problem.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Lattice point distribution ; Mean square estimates ; Distance measures ; Homogeneous sets
Publicat a: Publicacions matematiques, V. 49 N. 1 (2005) , p. 225-247, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_49105_11

23 p, 200.6 KB

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