Delocalization for a class of random block band matrices
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Publication:525095
DOI10.1007/s00440-015-0692-yzbMath1391.15110arXiv1503.07510OpenAlexW750357524WikidataQ59607451 ScholiaQ59607451MaRDI QIDQ525095
Publication date: 28 April 2017
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.07510
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Supersymmetry and quantum mechanics (81Q60) Random matrices (algebraic aspects) (15B52)
Related Items (14)
Transfer matrix approach to 1D random band matrices: density of states ⋮ Evidence of the Poisson/Gaudin–Mehta phase transition for band matrices on global scales ⋮ Random band matrices in the delocalized phase. III: Averaging fluctuations ⋮ Density of states for random band matrices in two dimensions ⋮ Optimal lower bound on the least singular value of the shifted Ginibre ensemble ⋮ Dynamical localization for random band matrices up to \(W \ll N^{1/4}\) ⋮ On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases ⋮ Characteristic polynomials for 1D random band matrices from the localization side ⋮ Universality for 1d random band matrices: sigma-model approximation ⋮ Universality for 1d random band matrices ⋮ The density of states of 1D random band matrices via a supersymmetric transfer operator ⋮ Local laws for polynomials of Wigner matrices ⋮ The least singular value of the general deformed Ginibre ensemble ⋮ Delocalization and quantum diffusion of random band matrices in high dimensions. II: \(T\)-expansion
Cites Work
- Delocalization and diffusion profile for random band matrices
- Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
- Averaging fluctuations in resolvents of random band matrices
- The local semicircle law for a general class of random matrices
- Random matrices: universality of local eigenvalue statistics
- Anderson localization for a supersymmetric sigma model
- Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
- The spectral edge of some random band matrices
- An estimate for the average spectral measure of random band matrices
- Local semicircle law and complete delocalization for Wigner random matrices
- Characteristic vectors of bordered matrices with infinite dimensions
- Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
- Eigenvector localization for random band matrices with power law band width
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Localization at large disorder and at extreme energies: an elementary derivation
- Extended states in the Anderson model on the Bethe lattice
- Density of states for random band matrices
- Bulk universality for generalized Wigner matrices
- On the second mixed moment of the characteristic polynomials of 1D band matrices
- Superbosonization formula and its application to random matrix theory
- Universality of the local regime for the block band matrices with a finite number of blocks
- Superbosonization of invariant random matrix ensembles
- Supersymmetry in Disorder and Chaos
- Scaling properties of localization in random band matrices: A σ-model approach
- Mean field upper and lower bounds on Lyapunov exponents
- SUSY Statistical Mechanics and Random Band Matrices
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