The Steklov problem on triangle-tiling graphs in the hyperbolic plane

Léonard Tschanz

We introduce a graph $\Gamma$ which is roughly isometric to the hyperbolic plane and we study the Steklov eigenvalues of a subgraph with boundary $\Omega$ of $\Gamma$. For $({\Omega }_l{)}_{l\ge 1}$ a seq…