Noah Kravitz

activity

20242026

collaborators

9 papers

math.PR2026

Half-plane non-coexistence without FKG

Frederik Ravn Klausen, Noah Kravitz

For $μ$ an edge percolation measure on the infinite square lattice, let $μ_{hp}$ (respectively, $μ_{h p}^{*}$ ) denote its marginal (respectively, the marginal of its planar d…

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.NT2025

The distribution of prime values of random polynomials

Noah Kravitz, Katharine Woo, Max Wenqiang Xu

The Bateman--Horn Conjecture predicts how often an irreducible polynomial $f (x) \in Z [x]$ assumes prime values. We demonstrate that with sufficient averaging in the coeffi…

math.DS2025

Quantitative pyjama

Noah Kravitz, James Leng

The "pyjama stripe" with parameter $ε > 0$ is the set $E (ε)$ of all complex numbers $z$ such that the distance from $ℜ (z)$ to the nearest integer is at most $\v…

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…