Spectral large deviations of sparse random matrices

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Combinatorial probability (60C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)

Cites Work

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Large deviations principle for the largest eigenvalue of Wigner matrices without Gaussian tails
A large deviation principle for Wigner matrices without Gaussian tails
The large deviation principle for the Erdős-Rényi random graph
Large deviations of empirical neighborhood distribution in sparse random graphs
On the distribution of the roots of certain symmetric matrices
Large deviations for the largest eigenvalue of Rademacher matrices
Gibbs measures and phase transitions on sparse random graphs
Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
The eigenvalues of random symmetric matrices
Large deviations for Wigner's law and Voiculescu's non-commutative entropy
Mean quantum percolation
Extremal eigenvalues of critical Erdős-Rényi graphs
Spectral edge in sparse random graphs: upper and lower tail large deviations
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree
Large deviations of subgraph counts for sparse Erdős-Rényi graphs
Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős-Rényi graphs
Spectral radii of sparse random matrices
On the asymptotic distribution of the eigenvalues of random matrices
Nonlinear large deviations
Large deviations for the largest eigenvalue of sub-Gaussian matrices
Sparse random matrices: spectral edge and statistics of rooted trees
Large Deviations for Random Matrices
On replica symmetry of large deviations in random graphs
The Largest Eigenvalue of Sparse Random Graphs
Proof of the Van den Berg–Kesten Conjecture
Upper Tails for Edge Eigenvalues of Random Graphs
Maxima for Graphs and a New Proof of a Theorem of Turán
On the variational problem for upper tails in sparse random graphs
Aging of spherical spin glasses
Outliers in spectrum of sparse Wigner matrices

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