One can hear a discrete rectangular torus
A.D. Mednykh, I.A. Mednykh, G.K. Sokolova

TL;DR
This paper proves that two discrete rectangular tori are isospectral if and only if they are structurally identical, establishing a unique spectral characterization for these geometric objects.
Contribution
It provides a complete characterization of isospectrality for discrete rectangular tori, showing spectral data determines their isomorphism.
Findings
Two discrete rectangular tori are isospectral iff they are isomorphic.
Spectral data uniquely identifies discrete rectangular tori.
The result establishes a spectral rigidity for these structures.
Abstract
In the present paper, we prove that two discrete rectangular tori are isospectral if and only if they are isomorphic.
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Taxonomy
TopicsBasque language and culture studies
