2 papers
math.SP2026
Equivariant Steklov homogenisation and stability of spectral representations
Samuel Audet-Beaumont, Maxime Fortier Bourque, Alexandre Girouard
We prove that isolated spectral clusters preserve their finite-group representation under equivariant spectral convergence. In particular, an irreducible limiting eigenspace cannot…
math.SP2024
Constructing surfaces with first Steklov eigenvalue of arbitrarily large multiplicity
Samuel Audet-Beaumont
We construct surfaces with arbitrarily large multiplicity for their first non-zero Steklov eigenvalue. The proof is based on a technique by M. Burger and B. Colbois originally used…