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

2025/11/22 by Korikov, Dmitrii
#30F15 #46J20 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 35R30 #Secondary: 46J15

paper · doi:10.48550/arxiv.2511.18179

Abstract

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.

Citations

• Determination of period matrix of double of surface with boundary via its DN map
• The Brownian loop measure on Riemann surfaces and applications to length spectra
• Stability estimates in determination of non-orientable surface from its Dirichlet-to-Neumann map
• Determining anisotropic real‐analytic conductivities by boundary measurements

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