Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
DOI10.1007/s00220-022-04314-zzbMath1501.58016arXiv2103.12013OpenAlexW3138998911MaRDI QIDQ2118802
Patrick Lopatto, Lucas Benigni
Publication date: 23 March 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12013
quantum unique ergodicitygeneralized Wigner matricesdecorrelation estimateeigenvector mass distributionquantum weak mixing
Random matrices (probabilistic aspects) (60B20) Ergodicity, mixing, rates of mixing (37A25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Quantum entropies (81P17)
Related Items (7)
Cites Work
- Unnamed Item
- Joint quasimodes, positive entropy, and quantum unique ergodicity
- The eigenvector moment flow and local quantum unique ergodicity
- Random matrices: universality of local eigenvalue statistics
- Sieving for mass equidistribution
- Mass equidistribution for Hecke eigenforms
- Universality of random matrices and local relaxation flow
- Rigidity of eigenvalues of generalized Wigner matrices
- Local semicircle law and complete delocalization for Wigner random matrices
- Eigenvectors of random matrices: A survey
- Local semicircle law under fourth moment condition
- GOE statistics for Lévy matrices
- Upper bounds on the rate of quantum ergodicity
- Delocalization of eigenvectors of random matrices with independent entries
- On the rate of quantum ergodicity for quantised maps
- Ergodicity and eigenfunctions of the Laplacian
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- On the local semicircular law for Wigner ensembles
- Bulk universality for generalized Wigner matrices with few moments
- Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
- Bulk universality for generalized Wigner matrices
- Eigenvector distribution of Wigner matrices
- Non-localization of eigenfunctions on large regular graphs
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
- Eigenvector statistics of Lévy matrices
- Optimal delocalization for generalized Wigner matrices
- Eigenstate thermalization hypothesis for Wigner matrices
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- Quantum ergodicity on graphs: from spectral to spatial delocalization
- Quantum ergodicity on large regular graphs
- Entropy and the localization of eigenfunctions
- Eigenvector statistics of sparse random matrices
- Isotropic local laws for sample covariance and generalized Wigner matrices
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Fermionic eigenvector moment flow
- The Isotropic Semicircle Law and Deformation of Wigner Matrices
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Random weighted projections, random quadratic forms and random eigenvectors
- RANDOM BAND MATRICES
- Wegner Estimate and Level Repulsion for Wigner Random Matrices
- A Dynamical Approach to Random Matrix Theory
- Local Semicircle Law for Random Regular Graphs
- Quantum unique ergodicity for parabolic maps
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