José Madrid

activity

20242026

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3 papers · 1 filter

math.CA2024

Sharp Poincare-Wirtinger inequalities on complete graphs

Cristian González-Riquelme, José Madrid

Let $K_{n} = (V, E)$ be the complete graph with $n \geq 3$ vertices (here $V$ and $E$ denote the set of vertices and edges of $K_{n}$ respectively). We find the optimal value ${\bf{C}}_{n,…

math.CO2024

Periodicity and decidability of translational tilings by rational polygonal sets

Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1

The periodic tiling conjecture asserts that if a region $Σ \subset R^{d}$ tiles $R^{d}$ by translations then it admits at least one fully periodic tiling. This conjectur…

math.CO2024

Discrete Brunn-Minkowski Inequality for subsets of the cube

Lars Becker, Paata Ivanisvili, Dmitry Krachun +1

We show that for all $A, B \subseteq {0, 1, 2}^{d}$ we have $∣ A + B ∣ \geq (∣ A ∣∣ B ∣)^{l o g (5) / (2 l o g (3))} .$ We also show that for all finite $A, B \subset Z^{d}$ , and any $V…