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- W3126571755 abstract "We consider a sequence of finite quantum graphs with few loops, so that they converge, in the sense of Benjamini-Schramm, to a random infinite quantum tree. We assume these quantum trees are spectrally delocalized in some interval $I$, in the sense that their spectrum in $I$ is purely absolutely continuous and their Green's functions are well controlled near the real axis. We furthermore suppose that the underlying sequence of discrete graphs is expanding. We deduce a quantum ergodicity result, showing that the eigenfunctions with eigenvalues lying in $I$ are spatially delocalized." @default.
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- W3126571755 date "2021-02-08" @default.
- W3126571755 modified "2023-10-09" @default.
- W3126571755 title "Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization" @default.
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