Process convergence of fluctuations of linear eigenvalue statistics of random circulant matrices

Bose, Arup ; Maurya, Shambhu Nath ; Saha, Koushik (2021) Process convergence of fluctuations of linear eigenvalue statistics of random circulant matrices Random Matrices: Theory and Applications, 10 (04). ISSN 2010-3263

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Official URL: http://doi.org/10.1142/S2010326321500325

Related URL: http://dx.doi.org/10.1142/S2010326321500325

Abstract

We discuss the process convergence of the time dependent fluctuations of linear eigenvalue statistics of random circulant matrices with independent Brownian motion entries, as the dimension of the matrix tends to ∞ . Our derivation is based on the trace formula of circulant matrix, method of moments and some combinatorial techniques.

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ID Code:135028
Deposited On:18 Jan 2023 06:31
Last Modified:18 Jan 2023 06:31

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