Translational tilings by a polytope, with multiplicity

• المؤلفون الرئيسيون: Robins, Sinai., Shiryaev, Dmitry., Gravin, Nick.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/96779; http://hdl.handle.net/10220/13087

We study the problem of covering Rd by overlapping translates of a convex polytope, such that almost every point of Rd is covered exactly k times. Such a covering of Euclidean space by a discrete set of translations is called a k-tiling. The investigation of simple tilings by translations (which...