34 citations · 45 across the 9 of their papers we have counts for
10 papers
Semicircular law with a few independent entries in a random matrix
Debapratim Banerjee, Himasish Talukdar
It is well known in random matrix literature that the limiting spectral distribution of a Wigner matrix is the semi circular law while the limiting spectral distributions of other…
Independence of linear spectral statistics and the point process at the edge of Wigner matrices
Debapratim Banerjee
In the current paper we consider a Wigner matrix and consider an analytic function of polynomial growth on a set containing the support of the semicircular law in its interior. We…
A new combinatorial approach for edge universality of Wigner matrices
Debapratim Banerjee
In this paper we introduce a new combinatorial approach to analyze the trace of large powers of Wigner matrices. Our approach is motivated from the paper by \citet{sosh}. However t…
Fluctuations of the free energy of the mixed -spin mean field spin glass model
Debapratim Banerjee, David Belius
We prove the convergence in distribution of the fluctuations of the free energy of the mixed -spin Sherrington-Kirkpatrick model with non-vanishing -spin component at high en…
A Bernstein type inequality for sums of selections from three dimensional arrays
Debapratim Banerjee, Matteo Sordello
We consider the three dimensional array , with , and the two random statistics $T_{1}:= \sum_{i=1}^n \sum_{j=1}…
Fluctuation of the free energy of Sherrington-Kirkpatrick model with Curie-Weiss interaction: the paramagnetic regime
Debapratim Banerjee
We consider a spin system with pure two spin Sherrington-Kirkpatrick Hamiltonian with Curie-Weiss interaction. The model where the spins are spherically symmetric was considered by…
High-dimensional CLT: Improvements, Non-uniform Extensions and Large Deviations
Arun Kumar Kuchibhotla, Somabha Mukherjee, Debapratim Banerjee
Central limit theorems (CLTs) for high-dimensional random vectors with dimension possibly growing with the sample size have received a lot of attention in the recent times. Chernoz…
Asymptotic normality and analysis of variance of log-likelihood ratios in spiked random matrix models
Debapratim Banerjee, Zongming Ma
The present manuscript studies signal detection by likelihood ratio tests in a number of spiked random matrix models, including but not limited to Gaussian mixtures and spiked Wish…
Optimal hypothesis testing for stochastic block models with growing degrees
Debapratim Banerjee, Zongming Ma
The present paper considers testing an Erdos--Renyi random graph model against a stochastic block model in the asymptotic regime where the average degree of the graph grows with th…
Contiguity and non-reconstruction results for planted partition models: the dense case
Debapratim Banerjee
We consider the two block stochastic block model on nodes with asymptotically equal cluster sizes. The connection probabilities within and between cluster are denoted by $p_n:=…