Work

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

Year: 2025

Type: article

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 $ .

Source: Canadian Journal of Mathematics

DOI: 10.4153/s0008414x25000264

Author: Dmitrii Korikov

Institutions: St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4409238483

FWCI: 4.841

Cites: 13

Cited by: 3

Related to: 10