dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Bilyk, Dmitry |
dc.contributor.author |
Ma, Xiaomin |
dc.contributor.author |
Spencer, Craigh |
dc.date.accessioned |
2010-04-26T07:36:34Z |
dc.date.available |
2010-04-26T07:36:34Z |
dc.date.created |
2009-11 |
dc.date.issued |
2009-11 |
dc.identifier.uri |
http://hdl.handle.net/2072/48223 |
dc.format.extent |
19 |
dc.format.extent |
292101 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;905 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Distribució de valors, Teoria de |
dc.title |
Directional discrepancy in two dimensions |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
511 - Teoria dels nombres |
dc.description.abstract |
In the present paper, we study the geometric discrepancy with respect to families of rotated rectangles. The well-known extremal cases are the axis-parallel rectangles (logarithmic discrepancy) and rectangles rotated in all possible directions (polynomial discrepancy). We study several intermediate situations: lacunary sequences of directions, lacunary sets of finite order, and sets with small Minkowski dimension. In each of these cases, extensions of a lemma due to Davenport allow us to construct appropriate rotations of the integer lattice which yield small discrepancy. |