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math.AP2025
Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
Romain Speciel
The Laplacian on the unit sphere has the property that it can explicitly be expressed in terms of , the Dirichlet-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.DG2025
Surfaces with Commuting Boundary Laplacian and Dirichlet-to-Neumann Map
Romain Speciel
For a smooth, connected, compact -dimensional submanifold with boundary, equipped with the standard metric, the Laplacian on is know…