activity
20142026
most citedFluctuations of Linear Eigenvalue Statistics of Random Band Matrices

26 citations · 45 across the 8 of their papers we have counts for

collaborators

9 papers

math.PR2026

Spectrum of Random Matrices with Exploding Moments

Indrajit Jana, Sunita Rani

We study the central limit theorem (CLT) for linear eigenvalue statistics of several types of matrix models, whose entries are having exploding moments, i.e., moments of the entrie…

math.PR2025

CLT for LES of real valued random centrosymmetric matrices

Indrajit Jana, Sunita Rani

We study the fluctuations of the eigenvalues of real valued large centrosymmetric random matrices via its linear eigenvalue statistic. This is essentially a central limit theorem (…

math.PR2025

CLT for LES of correlated Non-Hermitian Random Matrices

Indrajit Jana, Sunita Rani

We consider two non-Hermitian random matrices such that the th entry of one matrix is correlated with the th entry of the other matrix. However, the entries of…

math.PR2024★ 3 cited

Spectrum of random centrosymmetric matrices; CLT and Circular law

Indrajit Jana, Sunita Rani

We analyze the asymptotic fluctuations of linear eigenvalue statistics of random centrosymmetric matrices with i.i.d. entries. We prove that for a complex analytic test function, t…

math.PR2020★ 3 cited

Circular Law for Random Block Band Matrices with Genuinely Sublinear Bandwidth

Vishesh Jain, Indrajit Jana, Kyle Luh +1

We prove the circular law for a class of non-Hermitian random block band matrices with genuinely sublinear bandwidth. Namely, we show there exists so that if the bandw…

math.PR2019★ 10 cited

CLT for non-Hermitian random band matrices with variance profiles

Indrajit Jana

We show that the fluctuations of the linear eigenvalue statistics of a non-Hermitian random band matrix of increasing bandwidth with a continuous variance profile …

math.PR2019

Linear eigenvalue statistics of random matrices with a variance profile

Kartick Adhikari, Indrajit Jana, Koushik Saha

We give an upper bound on the total variation distance between the linear eigenvalue statistic, properly scaled and centred, of a random matrix with a variance profile and the stan…

math.PR2016★ 3 cited

Distribution of singular values of random band matrices; Marchenko-Pastur law and more

Indrajit Jana, Alexander Soshnikov

We consider the limiting spectral distribution of matrices of the form , where is an band matrix of bandwidth and …

math.PR2014★ 26 cited

Fluctuations of Linear Eigenvalue Statistics of Random Band Matrices

Indrajit Jana, Koushik Saha, Alexander Soshnikov

In this paper, we study the fluctuation of linear eigenvalue statistics of Random Band Matrices defined by , where is a band…