English

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

Mathematical Physics 2025-11-25 v1 Complex Variables math.MP

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.

Keywords

Cite

@article{arxiv.2511.18179,
  title  = {On perturbations of the DN map of a disk causing changes of surface topology},
  author = {Dmitrii Korikov},
  journal= {arXiv preprint arXiv:2511.18179},
  year   = {2025}
}

Comments

8 pages, 1 figure