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

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

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Publication Details

Journal
Canadian Journal of Mathematics
Published
2025-04-07
DOI
https://doi.org/10.4153/s0008414x25000264
Citations
1
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
Field-Weighted Citation Impact
1.25
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article

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

Dmitrii Korikov
1 citations
Canadian Journal of Mathematics
Electromagnetic Scattering and Analysis
1.25
article

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

Dmitrii Korikov
article en
1 citations

Abstract

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

Canadian Journal of Mathematics
Steklov Mathematical Institute (RU)
Climate action
Openalex Percentile: Top 22%
Electromagnetic Scattering and Analysis
1.25
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Determination of period matrix of double of surface with boundary via its DN map — Dmitrii Korikov · Canadian Journal of Mathematics (2025) | TGRS Research Map | TGRS