Stability of determination of Riemann surface from its DN-map in terms of Teichmüller distance

M. I. Belishev, D. V. Korikov

As is known, the Dirichlet-to-Neumann operator $\Lambda$ of a Riemannian surface $(M,g)$ determines the surface up to conformal equivalence class $[(M,g)]$. Such classes constitute the T…