Johannes Hosle

collaborators

3 papers

math.MG2026

The isomorphic section-projection problem for convex bodies

Johannes Hosle

Let $K, L$ be convex bodies in $R^{n}$ with $K$ centered. Assume that $∣ K \cap I^¸^{⊥} ∣ \leq ∣ L ∣ I^¸^{⊥} ∣$ for all $I^¸ \in S^{n - 1}$ . We prove that $∣ K ∣ \leq c n ∣ L ∣$ ,…

math.CO2026

Geometric Block Exponents and a Uniform Mixed-Alphabet Sumset Inequality

Johannes Hosle, Paata Ivanisvili

We study sharp exponents in inequalities for pairs of finite geometric blocks. We characterize exactly when the endpoint $t = 1$ determines the optimal exponent and compute the expon…

math.CO2026

Stolarsky-Type Inequalities in a Max-Convolution Problem

Johannes Hosle

For $m \in N$ , let $q_{m} := \frac{l o g ( 2 m + 1 )}{2 l o g ( m + 1 )}$ . The max-convolution inequality \begin{align*} \sum_{k=0}^{2m}\left(\max_{i+j=k} x_i y_j \right)^{q_m} &\ge \left…