%0 Book
%T Local formulas for Ehrhart coefficients from lattice tiles
%A Ring, Maren Helene
%D 2019
%C Rostock
%C Universität Rostock
%G English
%F 1687160082
%O vorgelegt von Maren Helene Ring
%O GutachterInnen: Achill Schürmann (Universität Rostock) ; Matthias Beck (San Francisco State University)
%O Dissertation Universität Rostock 2019
%X The coefficients of the Ehrhart polynomial of a lattice polytope can be written as a weighted sum of facial volumes. The weights in such a 'local formula' depend only on the outer normal cones of faces, but are far from being unique. In this thesis, we present local formulas μ based on choices of fundamental domains that, which allows a geometric interpretation of the values. Additionally, we generalize the results to Ehrhart quasipolynomials, prove new results about the symmetric behavior and introduce a variation well-suited for implementations.<eng>
%L 510
%9 theses
%9 Text
%9 Hochschulschrift
%R 10.18453/rosdok_id00002595
%U http://purl.uni-rostock.de/rosdok/id00002595
%U https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002595-5
%U https://d-nb.info/1293658626/34
%U https://doi.org/10.18453/rosdok_id00002595