Noah Kravitz

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20242026

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7 papers · 1 filter

math.CO2026

Quantitative concatenation for polynomial box norms

Noah Kravitz, Borys Kuca, James Leng

Using PET and quantitative concatenation techniques, we establish box-norm control with the "expected" directions for counting operators for general multidimensional polynomial pro…

math.CO2025

Statistics of Erdős-Rényi random numerical semigroups

Noah Kravitz, Santiago Morales, Carl Schildkraut

For $p > 0$ a small parameter, let $A \subseteq Z_{> 0}$ be a random subset where each positive integer is included independently with probability $p$ . We show that,…

math.CO2025

The structure of Lonely Runner spectra

Vikram Giri, Noah Kravitz

For each subtorus $T$ of $(R / Z)^{n}$ , let $D (T)$ denote the (infimal) $L^{\infty}$ -distance from $T$ to the point $(1/2, \dots, 1/2)$ . The $n$ -th Lonely Runner spectr…

math.CO2025

Relative sizes of iterated sumsets

Noah Kravitz

Let $h A$ denote the $h$ -fold sumset of a subset $A$ of an abelian group. Resolving a problem of Nathanson, we show that for any prescribed permutations $Ï_1, \ldots, Ï_H \in \mat…

math.CO2024

Reconstructing a set from its subset sums: $2$ -torsion-free groups

Federico Glaudo, Noah Kravitz

For a finite multiset $A$ of an abelian group $G$ , let $FS (A)$ denote the multiset of the $2^{∣ A ∣}$ subset sums of $A$ . It is natural to ask to what extent $A$ can be recons…

math.CO2024

Corners with polynomial side length

Noah Kravitz, Borys Kuca, James Leng

A $P$ -polynomial corner, for $P \in Z [z]$ a polynomial, is a triple of points $(x, y), (x + P (z), y), (x, y + P (z))$ for $x, y, z \in Z$ . In the case where $P$ has an…

Quantitative concatenation for polynomial box norms

Statistics of Erdős-Rényi random numerical semigroups

The structure of Lonely Runner spectra

Relative sizes of iterated sumsets

Reconstructing a set from its subset sums: 2-torsion-free groups

Corners with polynomial side length

Reconstructing a set from its subset sums: $2$ -torsion-free groups