Kartick Adhikari

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20242026

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math.PR2026

Large deviations of crowding in finite $I^^{2}$ -ensembles

Kartick Adhikari, Sitanath Majumder

We consider finite $I^^{2}$ -ensembles $X_{n, I^^{2}}^{F}$ with $n$ points on $F$ , where $F$ denotes either the real line or the complex plane. Let $U$ be a…

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.PR2025

On the diameter of random uniform hypergraphs in dense regime

Kartick Adhikari, Asrafunnesa Khatun

For a fixed natural number $t \geq 2$ , we consider $t$ -uniform random hypergraphs $H (n, t, p)$ on $n$ vertices $[n] = {1, \dots, n}$ , where each $t$ -subset of $[n]$ is incl…

math.PR2025

Convergence and asymptotic freeness of missing data matrices

Kartick Adhikari, Dev Ahir

We consider a random matrix of the form $D_{n} ⊙ X_{n}$ (known as a variance profile matrix), where $⊙$ denotes the Hadamard product of the two matrices, $D_{n}$ is a determinist…

math.PR2024

Convergence of high dimensional Toeplitz and related matrices with correlated inputs

Kartick Adhikari, Arup Bose, Shambhu Nath Maurya

We investigate the joint convergence of independent random Toeplitz matrices with complex input entries that have a pair-correlation structure, along with deterministic Toeplitz ma…