3 papers
math.DG2024
Geometric bounds for low Steklov eigenvalues of finite volume hyperbolic surfaces
Asma Hassannezhad, Antoine Métras, Hélène Perrin
We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortes…
math.SP2020
Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
Hélène Perrin
We study upper bounds for the first non-zero eigenvalue of the Steklov problem defined on finite graphs with boundary. For finite graphs with boundary included in a Cayley graph as…
math.SP2018
Lower bounds for the first eigenvalue of the Steklov problem on graphs
Hélène Perrin
We give lower bounds for the first non-zero Steklov eigenvalue on connected graphs. These bounds depend on the extrinsic diameter of the boundary and not on the diameter of the gra…