Local semicircle law for Curie-Weiss type ensembles

DOI10.1214/22-EJP767zbMath1487.60012arXiv1907.08782OpenAlexW2962985765MaRDI QIDQ2136092

Werner Kirsch, Michael Fleermann, Thomas Kriecherbauer

Publication date: 10 May 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08782

zbMATH Keywords

random matrixlocal semicircle lawcorrelated entriesCurie-Weiss entriesexchangeable entries

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local spectral statistics of Gaussian matrices with correlated entries
• Semicircle law for a matrix ensemble with dependent entries
• Averaging fluctuations in resolvents of random band matrices
• A phase transition for the limiting spectral density of random matrices
• The local semicircle law for a general class of random matrices
• Universality of random matrices with correlated entries
• Random matrices: universality of local eigenvalue statistics
• Local semicircle law and complete delocalization for Wigner random matrices
• Local semicircle law under fourth moment condition
• Entropy, large deviations, and statistical mechanics.
• Spectral analysis of large dimensional random matrices
• Universality for general Wigner-type matrices
• On the local semicircular law for Wigner ensembles
• Stability of the matrix Dyson equation and random matrices with correlations
• Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature
• Local central limit theorem for multi-group Curie-Weiss models
• Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
• An elementary proof of de Finetti's theorem
• On smoothed density of states for Wigner random matrices
• RANDOM MATRICES WITH SLOW CORRELATION DECAY
• High-dimensional sample covariance matrices with Curie-Weiss entries
• Random matrices with exchangeable entries
• Random matrices: The Universality phenomenon for Wigner ensembles
• A Dynamical Approach to Random Matrix Theory

This page was built for publication: Local semicircle law for Curie-Weiss type ensembles