Ehrhartove limite

We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart h*-polynomials. We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.

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Journal
Repository of the University of Primorsk (University of Primorska)
Published
2025-02-07
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

Ehrhartove limite

Repository of the University of Primorsk (University of Primorska)
Advanced Combinatorial Mathematics
article

Ehrhartove limite

article en

Abstract

We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart h*-polynomials. We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.

Repository of the University of Primorsk (University of Primorska)
University of Kentucky (US), Rose–Hulman Institute of Technology (US)
National Science Foundation
Openalex Percentile: Top 22%
Advanced Combinatorial Mathematics
Open Access PDFOpenAlex
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Ehrhartove limite · Repository of the University of Primorsk (University of Primorska) (2025) | TGRS Research Map | TGRS