Groups Geometry and Dynamics· 2026Q1
Spectra of infinite Cayley graphs, examples with pure band spectra
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- 2026year
Short summary
Infinite Cayley graphs can have adjacency operators whose spectra are a disjoint union of N intervals, for any integer N.
AI-generated from the title and abstract; the full text is not read.
Key points
- Demonstrates construction of infinite Cayley graphs with specific spectral properties.
- The adjacency operator's spectrum can be a disjoint union of N intervals.
- This property holds for any arbitrarily large integer N.
AI-generated from the title and abstract; the full text is not read.
Abstract
It is shown that there are groups \Gamma with finite generating sets S such that the adjacency operator of the Cayley graph \mathrm{Cay}(\Gamma,S) is a disjoint union of N intervals, for arbitrarily large integers N .
The authors' abstract, as published at the source. Groups Geometry and Dynamics, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics