Determination of period matrix of double of surface with boundary via its DN map

2025/01/31 by Dmitrii Korikov · 1 citation
Physics and Astronomy · Engineering · #Electromagnetic Scattering and Analysis #Material Science and Thermodynamics #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.4153/s0008414x25000264

Abstract

Abstract As is well-known, the conformal class of a surface M with boundary is determined by its Diriclet-to-Neumann (DN) map Λ . We propose an algorithm for determination of the b -period matrix \mathbb B of the (Schottky) double of M via Λ .

Cited by

• On perturbations of the DN map of a disk causing changes of surface topology

Related

• Conformal Structures and Period Matrices of Polyhedral Surfaces
• Stability of determination of Riemann surface from its DN-map in terms of Teichmüller distance
• Discrete period matrices and related topics
• The determinant of the Dirichlet-to-Neumann map for surfaces with boundary
• Visualizing the unit ball for the Teichmüller metric