Unimodular Valuations beyond Ehrhart
A complete classification of unimodular valuations on the set of lattice polygons with values
in the spaces of polynomials and formal power series, respectively, is established. The …
in the spaces of polynomials and formal power series, respectively, is established. The …
The universal valuation of Coxeter matroids
Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize
Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect …
Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect …
A friendly introduction to Fourier analysis on polytopes
S Robins - arXiv preprint arXiv:2104.06407, 2021 - arxiv.org
This book is an introduction to the nascent field of Fourier analysis on polytopes, and cones.
There is a rapidly growing number of applications of these methods, so it is appropriate to …
There is a rapidly growing number of applications of these methods, so it is appropriate to …
[图书][B] Valuations of Polyhedra and Coxeter Combinatorics
M Supina - 2021 - search.proquest.com
Discrete geometry is a field of mathematics which encompasses the study of polyhedra, or
intersections of closed half-spaces in some vector space. Algebraic combinatorics employs …
intersections of closed half-spaces in some vector space. Algebraic combinatorics employs …