Quantum ergodicity on graphs: from spectral to spatial delocalization
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Publication:2320600
DOI10.4007/annals.2019.189.3.3zbMath1423.58021arXiv1704.02766OpenAlexW2963332679MaRDI QIDQ2320600
Mostafa Sabri, Nalini Anantharaman
Publication date: 23 August 2019
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02766
Related Items (18)
Anderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle ⋮ Rank-uniform local law for Wigner matrices ⋮ The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph ⋮ Normal fluctuation in quantum ergodicity for Wigner matrices ⋮ Absolutely continuous spectrum for quantum trees ⋮ Existence of absolutely continuous spectrum for Galton-Watson random trees ⋮ Quantitative equidistribution of eigenfunctions for toral Schrödinger operators ⋮ Quantum ergodicity for periodic graphs ⋮ Quantum ergodicity for large equilateral quantum graphs ⋮ Pointwise Weyl law for graphs from quantized interval maps ⋮ Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs ⋮ Quantum ergodicity for the Anderson model on regular graphs ⋮ Eigenstate thermalization hypothesis for Wigner matrices ⋮ Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit ⋮ Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization ⋮ Recent results of quantum ergodicity on graphs and further investigation ⋮ \(L^p\) norms and support of eigenfunctions on graphs ⋮ Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
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