Jonathan Leake

collaborators

2 papers

math.CO2026

Trickle-down Theorems via C-Lorentzian Polynomials II: Pairwise Spectral Influence and Improved Dobrushin's Condition

Jonathan Leake, Shayan Oveis Gharan

Let $I^¼$ be a probability distribution on a multi-state spin system on a set $V$ of sites; equivalently, a $d$ -partite simplicial complex with distribution $I^¼$ on maximal faces. F…

math.CO2025

Optimal Trickle-Down Theorems for Path Complexes via C-Lorentzian Polynomials with Applications to Sampling and Log-Concave Sequences

Jonathan Leake, Kasper Lindberg, Shayan Oveis Gharan

Let $X$ be a $d$ -partite $d$ -dimensional simplicial complex with parts $T_{1}, \dots, T_{d}$ and let $I^¼$ be a distribution on the facets of $X$ . Informally, we say $(X, I^¼)$ is a path co…