Reconstruction of symmetric convex bodies from Ehrhart-like data

In a previous paper, we showed how to use the Ehrhart function $L_{P} (s)$ , defined by $L_{P} (s) = # (s P \cap Z^{d})$ , to reconstruct a polytope $P$ . More specifically, we showed that, for rational polytopes $P$ and $Q$ , if $L_{P

w}(s) = L_{Q + w}(s) $f o r a l l i n t e g e r v e c t o r s$ w $, t h e n$ P = Q$. In this paper we show the same result, but assuming that $P$ and $Q$ are symmetric convex bodies instead of rational polytopes.

w}(s) = L_{Q + w}(s) $f o r a l l i n t e g e r v e c t o r s$ w $, t h e n$ P = Q$. In this paper we show the same result, but assuming that $P$ and $Q$ are symmetric convex bodies instead of rational polytopes.

Reconstruction of symmetric convex bodies from Ehrhart-like data

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Reconstruction of symmetric convex bodies from Ehrhart-like data

文献摘要

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讲解博客

AI智能校验

Reconstruction of symmetric convex bodies from Ehrhart-like data

文献摘要

讨论

|讲解博客

|AI智能校验

Reconstruction of symmetric convex bodies from Ehrhart-like data

文献摘要

讨论

|讲解博客

|AI智能校验

讲解博客

AI智能校验

讲解博客

AI智能校验