On the nodal count for flat tori

DOI10.1007/s00220-012-1432-0zbMath1252.58014OpenAlexW2125645603MaRDI QIDQ444071

Jochen Brüning, David Fajman

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-012-1432-0

zbMATH Keywords

flat torusnodal domainConway--Sloan familyisospectral manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Isospectrality (58J53)

Related Items

Isospectral discrete and quantum graphs with the same flip counts and nodal counts, Topological properties of Neumann domains, The nodal count {0,1,2,3,…} implies the graph is a tree, Neumann domains on quantum graphs

Cites Work

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• Ternary positive definite quadratic forms are determined by their theta series
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Nodal domains on isospectral quantum graphs: the resolution of isospectrality?
• Counting nodal domains on surfaces of revolution
• Inverse nodal problems
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Comment on ‘Resolving isospectral ‘drums’ by counting nodal domains’
• Can One Hear the Shape of a Drum?
• Resolving isospectral ‘drums’ by counting nodal domains