A. Garber

activity

20102025

most citedOn the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets

23 citations · 112 across the 26 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.MG2023

Bounds for the Regularity Radius of Delone Sets

Nikolay Dolbilin, Alexey Garber, Egon Schulte +1

Delone sets are discrete point sets $X$ in $R^{d}$ characterized by parameters $(r, R)$ , where (usually) $2 r$ is the smallest inter-point distance of $X$ , and $R$ is the radi…

math.CO2023★ 4 cited

Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem

Esme Bajo, Robert Davis, Jesús A. De Loera +4

We generalize R. P. Stanley's celebrated theorem that the $h^{*}$ -polynomial of the Ehrhart series of a rational polytope has nonnegative coefficients and is monotone under contai…