Luis Ferroni

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math.CO2026

Luck and magic for Pitman-Stanley polytopes and parking functions

Nicolas Avila, Luis Ferroni, Alejandro H. Morales

Motivated by the combinatorics of parking functions and their several generalizations, we study the Ehrhart theory of Pitman--Stanley polytopes. We prove a strong positivity phenom…

math.CO2025

Preservation of log-concavity on gamma polynomials

Luis Ferroni, Greta Panova, Lorenzo Venturello

Every symmetric polynomial $h (x)$ with center of symmetry $n /2$ can be expressed as a linear combination in the basis $x^{i} (1 + x)^{n - 2 i}$ . The $γ$ -polynomial of $h (x)$ , which we deno…