Julie Clutterbuck

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math.AP2026

Convexity inequalities for eigenvalues and log-concavity of eigenfunctions

Paul Bryan, Julie Clutterbuck, Cale Rankin

We give simple new proofs of two well-known results for the SchrÃ¶dinger operator: first, the Brunn--Minkowski inequality for Dirichlet eigenvalues and, second, the log-concavity o…

math.AP2025

Constant potentials do not minimise the fundamental gap on convex domains in hyperbolic space

Julie Clutterbuck, Frieder JÃ¤ckel, Xuan Hien Nguyen

We show that for every $n \geq 2$ and $D > 0$ there exist a convex domain $I^c ◯ \subseteq H^{n}$ with diameter $D$ and a convex potential $V$ on $I^c ◯$ such that the fundamental g…