4 papers · 1 filter
The determinant of the Dirichlet-to-Neumann map for a surface with boundary and periods of holomorphic differentials on its double
Dmitrii Korikov, Alexey Kokotov
Let be a smooth orientable Riemannian manifold of genus with Riemannian metric and connected boundary . Let be the Dirichlet-to-Neumann map o…
On the Dirichlet-to-Neumann conformal invariant of bounded planar domains
Alexey Kokotov, Dmitrii Korikov, Marina Nenasheva
Using an analogue of Mandelstam-Giddings-Wolpert diagrams, we introduce a new canonical representative of the conformal class of a bounded domain of arbitrary connectivity in $\mat…
On perturbations of the DN map of a disk causing changes of surface topology
Dmitrii Korikov
We establish the degeneration of the Schottky double of a genus 1 Riemann surface with boundary as its DN map tends to the DN map of the unit disk.
Determination of period matrix of double of surface with boundary via its DN map
Dmitrii Korikov
As is well-known, a conformal class of a surface with boundary is determined by its DN map . In the paper, the algorithm for determination of the -period matrix $\mat…