Universal eigenvalue statistics for dynamically defined matrices
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Publication:6622466
DOI10.1007/s11854-023-0314-zMaRDI QIDQ6622466
Publication date: 22 October 2024
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Hermitian matricesrandom matrix theoryadmissible evaluation functiondynamical resamplingdynamically defined matricesGUE matrixstochastic control parameters
Random matrices (probabilistic aspects) (60B20) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)
Cites Work
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- Local spectral statistics of Gaussian matrices with correlated entries
- Universality of random matrices with correlated entries
- Random matrices: universality of local eigenvalue statistics
- Universality of random matrices and local relaxation flow
- Universality for generalized Wigner matrices with Bernoulli distribution
- Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
- Rigidity of eigenvalues of generalized Wigner matrices
- Bulk eigenvalue statistics for random regular graphs
- Combinatorial rigidity for unicritical polynomials
- Perturbations of orthogonal polynomials with periodic recursion coefficients
- Fixed energy universality of Dyson Brownian motion
- Universal hierarchical structure of quasiperiodic eigenfunctions
- Positive Lyapunov exponents for a class of deterministic potentials
- Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
- Bulk universality for generalized Wigner matrices
- Inhomogeneous circular law for correlated matrices
- Spectral statistics of sparse Erdős-Rényi graph Laplacians
- Correlated random matrices: band rigidity and edge universality
- Global eigenvalue distribution of matrices defined by the skew-shift
- Bulk universality for Wigner Hermite matrices with subexponential decay
- Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents
- On the limiting spectral distribution for a large class of symmetric random matrices with correlated entries
- The local relaxation flow approach to universality of the local statistics for random matrices
- Edge universality of correlated Gaussians
- Universality of the least singular value for sparse random matrices
- Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent
- Bulk universality for Wigner matrices
- On the free convolution with a semi-circular distribution
- RANDOM MATRICES WITH SLOW CORRELATION DECAY
- Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base
- A Dynamical Approach to Random Matrix Theory
- Local Semicircle Law for Random Regular Graphs
- Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
- Local Law for Singular Values of Oscillatory Matrices
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.
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