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math.PR2024
Largest eigenvalue of positive mean Gaussian matrices
Arijit Chakrabarty, Rajat Subhra Hazra, Moumanti Podder
This short note studies the fluctuations of the largest eigenvalue of symmetric random matrices with correlated Gaussian entries having positive mean. Under the assumption that the…
math.PR2024
Functional Central Limit Theorem for the principal eigenvalue of dynamic Erdős-Rényi random graphs
Rajat Subhra Hazra, Nikolai Kriukov, Michel Mandjes
In this paper we consider a dynamic version of the Erdős-Rényi random graph, in which edges independently appear and disappear in time, with the on- and off times being exponential…