Romain Speciel

collaborators

4 papers

math.SP2026

Steklov rigidity of Euclidean balls

Romain Speciel

Let $Ω \subset R^{n}$ , $n \geq 3$ , be a bounded domain with smooth boundary. We show that if the Steklov spectrum of $Ω$ tends to that of a ball at a sufficiently fast rate, t…

math.AP2025

A Deformation Approach to the BFK Formula

Romain Speciel

Understanding how spectral quantities localize on manifolds is a central theme in geometric spectral theory and index theory. Within this framework, the BFK formula, obtained by Bu…

math.AP2025

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator

Romain Speciel

The Laplacian $I^_{S^{n - 1}}$ on the unit sphere $S^{n - 1} \subset R^{n}$ has the property that it can explicitly be expressed in terms of $I^$ , the Dirichlet…

math.DG2025

Surfaces with Commuting Boundary Laplacian and Dirichlet-to-Neumann Map

Romain Speciel

For $M \subset R^{d \geq 3}$ a smooth, connected, compact $d$ -dimensional submanifold with boundary, equipped with the standard metric, the Laplacian on $\partial M$ is know…