Kiran Kumar

activity

20212026

most citedLinear Eigenvalue Statistics of

X X^{'}

matrices

1 citations · 1 across the 7 of their papers we have counts for

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math.PR2026

Semicircle law for multi-parameter random simplicial complexes

Kartick Adhikari, Kiran Kumar, Koushik Saha

In this paper, we consider the multi-parameter random simplicial complex model, which generalizes the Linial-Meshulam model and random clique complexes by allowing simplices of dif…

math.PR2024

CLT for generalized patterned random matrices: a unified approach

Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha

In this paper, we derive a unified method for establishing the distributional convergence of linear eigenvalue statistics (LES) for generalized patterned random matrices. We prove…

math.PR2023★ 1 cited

Linear Eigenvalue Statistics of $X X^{'}$ matrices

Kiran Kumar A. S, Shambhu Nath Maurya, Koushik Saha

This article focuses on the fluctuations of linear eigenvalue statistics of $T_{n \times p} T_{n \times p}^{'}$ , where $T_{n \times p}$ is an $n \times p$ Toeplitz matrix with real, comple…

math.PR2023

On the spectrum of Random Simplicial Complexes in Thermodynamic Regime

Kartick Adhikari, Kiran Kumar A. S., Koushik Saha

Linial-Meshulam complex is a random simplicial complex on $n$ vertices with a complete $(d - 1)$ -dimensional skeleton and $d$ -simplices occurring independently with probability p. Li…

math.PR2022

A non-Gaussian limit for linear eigenvalue statistics of Hankel matrices

Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha

This article focuses on linear eigenvalue statistics of Hankel matrices with independent entries. Using the convergence of moments we show that the linear eigenvalue statistics of…

math.PR2021

Asymptotic Behaviour of Linear eigenvalue statistics of Hankel matrices

Kiran Kumar A. S., Shambhu Nath Maurya

We study linear eigenvalue statistics of band Hankel matrices with Brownian motion entries. We prove that, the centred, normalized linear eigenvalue statistics of band Hankel matri…