Upper bounds for Steklov eigenvalues of subgraphs of polynomial growth Cayley graphs

DOI10.1007/s10455-021-09799-wzbMath1484.05138arXiv2101.04402OpenAlexW3198223081MaRDI QIDQ2076531

Léonard Tschanz

Publication date: 22 February 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04402

zbMATH Keywords

Steklov problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (2)

Some recent developments on the Steklov eigenvalue problem ⋮ The Steklov problem on triangle-tiling graphs in the hyperbolic plane

Cites Work

• Isoperimetric control of the Steklov spectrum
• Isoperimetricity for groups and manifolds
• First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs
• Lower bounds for the first eigenvalue of the Steklov problem on graphs
• Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
• The Steklov spectrum and coarse discretizations of manifolds with boundary
• Higher order Cheeger inequalities for Steklov eigenvalues
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