Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős-Rényi graphs
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Publication:2212598
DOI10.1214/20-AOP1427zbMath1456.60063arXiv1810.01558OpenAlexW3088535225MaRDI QIDQ2212598
Publication date: 24 November 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01558
Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)
Related Items (18)
Rare event asymptotics for exploration processes for random graphs ⋮ Large deviations for the largest eigenvalue of matrices with variance profiles ⋮ Upper tails via high moments and entropic stability ⋮ Replica symmetry in upper tails of mean-field hypergraphs ⋮ Upper tail of the spectral radius of sparse Erdös-Rényi graphs ⋮ Upper tail for homomorphism counts in constrained sparse random graphs ⋮ Bernoulli random matrices ⋮ Lower tails via relative entropy ⋮ Rare events in random matrix theory ⋮ The upper tail problem for induced 4‐cycles in sparse random graphs ⋮ Large deviations in random latin squares ⋮ Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime ⋮ Typical large graphs with given edge and triangle densities ⋮ Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization ⋮ A transportation approach to the mean-field approximation ⋮ Anti-concentration for subgraph counts in random 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
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