专题:Random Matrices and Applications

This cluster of papers covers the topic of Random Matrix Theory and its applications in various fields such as eigenvalues, covariance matrices, universality, spectral statistics, large dimensional data, spiked population models, principal component analysis, determinantal processes, and growth processes.
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Spectrum-aware debiasing: A modern inference framework with applications to principal components regression

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Integrability enabled computations relating to the fixed trace Laguerre ensemble *

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Nonparametric two-sample hypothesis testing for low-rank random graphs of differing sizes

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On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

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Optimality of approximate message passing for spiked matrix models with rotationally invariant noise

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A computational transition for detecting correlated stochastic block models by low-degree polynomials

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𝑞-Deformed Gaussian unitary ensemble: Spectral moments and genus-type expansions

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Extremal eigenvectors of sparse random matrices

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Spectral Alignment of Kernel Matrices and Applications

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Statistical inference for large-dimensional tensor factor model by iterative projections

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