37 citations · 81 across the 8 of their papers we have counts for
Showing 2011 · math.SPShow all
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math.SP2011★ 1 cited
Quantum graphs and their spectra
Ralf Rueckriemen
We show that families of leafless quantum graphs that are isospectral for the standard Laplacian are finite. We show that the minimum edge length is a spectral invariant. We give a…
math.SP2011★ 1 cited
Isospectral Metrics on Projective Spaces
Ralf Rueckriemen
We construct isospectral non isometric metrics on real and complex projective space. We recall the construction using isometric torus actions by Carolyn Gordon in chapter 2. In cha…
math.SP2011
Recovering quantum graphs from their Bloch spectrum
Ralf Rueckriemen
We define the Bloch spectrum of a quantum graph to be the collection of the spectra of a family of Schrodinger operators parametrized by the cohomology of the quantum graph. We sho…