4 papers
Outlier eigenvalues and eigenvectors of generalized Wigner matrices with finite-rank perturbations
Bishakh Bhattacharya, Arijit Chakrabarty, Rajat Subhra Hazra
A generalized Wigner matrix perturbed by a finite-rank deterministic matrix is considered. The fluctuations of the largest eigenvalues, which emerge outside the bulk of the spectru…
Voter model on heterogeneous directed networks
Luca Avena, Federico Capannoli, Diego Garlaschelli +1
We investigate the consensus dynamics of the voter model on large random graphs with heterogeneous and directed features, focusing in particular on networks with power-law degree d…
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…
Remarks on absolute continuity in the context of free probability and random matrices
Arijit Chakrabarty, Rajat Subhra Hazra
In this note, we show that the limiting spectral distribution of symmetric random matrices with stationary entries is absolutely continuous under some sufficient conditions. This r…