27 citations · 95 across the 24 of their papers we have counts for
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math.SP2013★ 27 cited
The Steklov spectrum of surfaces: asymptotics and invariants
Alexandre Girouard, Leonid Parnovski, Iosif Polterovich +1
We obtain precise asymptotics for the Steklov eigenvalues on a compact Riemannian surface with boundary. It is shown that the number of connected components of the boundary, as wel…
math.SP2013★ 8 cited
The spectral gap of graphs and Steklov eigenvalues on surfaces
Bruno Colbois, Alexandre Girouard
Using expander graphs, we construct a sequence of smooth compact surfaces with boundary of perimeter N, and with the first non-zero Steklov eigenvalue uniformly bounded away from z…