Asymptotic behaviour of linear eigenvalue statistics of Hankel matrices
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Publication:2070644
DOI10.1016/j.spl.2021.109273zbMath1478.60016arXiv2104.07912OpenAlexW3205401327MaRDI QIDQ2070644
Shambhu Nath Maurya, Kiran Kumar A. S.
Publication date: 24 January 2022
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07912
weak convergenceBrownian motioncentral limit theoremlinear eigenvalue statisticsband Hankel matrixtime dependent fluctuations
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)
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Cites Work
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- Fluctuations of eigenvalues for random Toeplitz and related matrices
- Limit distribution of eigenvalues for random Hankel and Toeplitz band matrices
- Limiting spectral distributions of some band matrices
- Padé-type approximation and general orthogonal polynomials
- Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
- On the traces of Laguerre processes
- Wishart processes
- Universality in the fluctuation of eigenvalues of random circulant matrices
- CLT for linear spectral statistics of large-dimensional sample covariance matrices.
- Process convergence of fluctuations of linear eigenvalue statistics of band Toeplitz matrices
- Spectral measure of large random Hankel, Markov and Toeplitz matrices
- Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
- Fluctuations of Linear Eigenvalue Statistics of Random Band Matrices
- On fluctuations for random band Toeplitz matrices
- An Introduction to Random Matrices
- A Brownian-Motion Model for the Eigenvalues of a Random Matrix
- The Classical Moment Problem and Some Related Questions in Analysis
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics