14 citations · 30 across the 21 of their papers we have counts for
25 papers
The Generalized Friendship Paradox for Eigenvectors
Bishakh Bhattacharya, Arijit Chakrabarty, Rajat Subhra Hazra
In this paper, we investigate the generalized friendship paradox for eigenvectors (alternatively called the eigen friendship paradox and abbreviated hereafter as EFP) in the settin…
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…
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…
Clustering of large deviations in moving average processes: the long memory regime
Arijit Chakrabarty, Gennady Samorodnitsky
We investigate how large deviations events cluster in the framework of an infinite moving average process with light-tailed noise and long memory. The long memory makes clusters la…
Clustering of large deviations in moving average processes: the short memory regime
Arijit Chakrabarty, Gennady Samorodnitsky
We describe the cluster of large deviations events that arise when one such large deviations event occurs. We work in the framework of an infinite moving average process with a noi…
Length of stationary Gaussian excursions
Arijit Chakrabarty, Manish Pandey, Sukrit Chakraborty
Given that a stationary Gaussian process is above a high threshold, the length of time it spends before going below that threshold is studied. The asymptotic order is determined by…