Kartick Adhikari

activity

20132026

most citedDeterminantal point processes in the plane from products of random matrices

31 citations · 58 across the 15 of their papers we have counts for

collaborators

20 papers

math.PR2026

Large deviations of crowding in finite $β$ -ensembles

Kartick Adhikari, Sitanath Majumder

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

math.CO2026

Star-collision in random hypergraphs

Kartick Adhikari, Samiron Parui

We study star-based symmetries in uniform hypergraphs and their consequences for matrices whose entries depend only on vertex stars. Such matrices admit a deterministic decompositi…

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.CO2025

Spectrum and local weak convergence of sparse random uniform hypergraphs

Kartick Adhikari, Samiron Parui

The notion of local weak convergence, or Benjamini--Schramm convergence, was introduced by Benjamini and Schramm. The local weak limit of sparse Erd\H os--Rényi graphs is the Galto…

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.PR2023

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…

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.CO2022

Shotgun Assembly of Linial-Meshulam Model

Kartick Adhikari, Sukrit Chakraborty

In a recent paper [6], J. Gaudio and E. Mossel studied the shotgun assembly of the Erdős-Rényi graph $G (n, p_{n})$ with $p_{n} = n^{- α}$ , and showed that the graph is reconstruct…

math.PR2022★ 2 cited

Shotgun Assembly of Random Geometric Graphs

Kartick Adhikari, Sukrit Chakraborty

In a recent work, Huang and Tikhomirov considered the shotgun assembly for Erd\H os-Rényi graphs $G (n, p_{n})$ with $p_{n} = n^{- α}$ , and showed that the graph is reconstructable…

math.PR2020

On the Spectrum of Dense Random Geometric Graphs

Kartick Adhikari, Robert J. Adler, Omer Bobrowski +1

In this paper we study the spectrum of the random geometric graph $G (n, r)$ , in a regime where the graph is dense and highly connected. In the \erdren $G (n, p)$ random graph it is we…

math.PR2020★ 10 cited

Fluctuation and Entropy in Spectrally Constrained random fields

Kartick Adhikari, Subhroshekhar Ghosh, Joel L. Lebowitz

We investigate the statistical properties of translation invariant random fields (including point processes) on Euclidean spaces (or lattices) under constraints on their spectrum o…

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.PR2018

Limiting spectral distribution of the product of truncated Haar unitary matrices

Kartick Adhikari, Arup Bose

Let $A_{m}^{(1)}, \dots, A_{m}^{(k)}$ be $m \times m$ left-uppermost blocks of $k$ independent $n \times n$ Haar unitary matrices where $\frac{n}{m} \to α$ as $m \to \infty$ , with $1<α<\in…

math.PR2017

Brown measure and asymptotic freeness of elliptic and related matrices

Kartick Adhikari, Arup Bose

We show that independent elliptic matrices converge to freely independent elliptic elements. Moreover, the elliptic matrices are asymptotically free with deterministic matrices und…

math.PR2017

Universality in the fluctuation of eigenvalues of random circulant matrices

Kartick Adhikari, Koushik Saha

We show that the linear statistics of eigenvalues of circulant matrix obey the Gaussian central limit theorem for a large class of input sequences.

math.PR2016★ 15 cited

Fluctuations of eigenvalues of patterned random matrices

Kartick Adhikari, Koushik Saha

In this article we study the fluctuation of linear statistics of eigenvalues of circulant, symmetric circulant, reverse circulant and Hankel matrices. We show that the linear spect…

math.PR2016

Hole probabilities for determinantal point processes in the complex plane

Kartick Adhikari

We study the hole probabilities for $X_{\infty}^{(α)}$ ( $α > 0$ ), a determinantal point process in the complex plane with the kernel $\mathbb K_{\infty}^{(α)}(z,w)=\fracα{…

math.PR2016

Hole probabilities for finite and infinite Ginibre ensembles

Kartick Adhikari, Nanda Kishore Reddy

We study the hole probabilities of the infinite Ginibre ensemble $X_{\infty}$ , a determinantal point process on the complex plane with the kernel $\mathbb K(z,w)= \frac{…

math.PR2013★ 31 cited

Determinantal point processes in the plane from products of random matrices

Kartick Adhikari, Nanda Kishore Reddy, Tulasi Ram Reddy +1

We show the density of eigenvalues for three classes of random matrix ensembles is determinantal. First we derive the density of eigenvalues of product of $k$ independent $n\times…

Large deviations of crowding in finite β-ensembles

Star-collision in random hypergraphs

Semicircle law for multi-parameter random simplicial complexes

On the diameter of random uniform hypergraphs in dense regime

Spectrum and local weak convergence of sparse random uniform hypergraphs

Convergence and asymptotic freeness of missing data matrices

Convergence of high dimensional Toeplitz and related matrices with correlated inputs

On the spectrum of Random Simplicial Complexes in Thermodynamic Regime

Shotgun Assembly of Linial-Meshulam Model

Shotgun Assembly of Random Geometric Graphs

On the Spectrum of Dense Random Geometric Graphs

Fluctuation and Entropy in Spectrally Constrained random fields

Linear eigenvalue statistics of random matrices with a variance profile

Limiting spectral distribution of the product of truncated Haar unitary matrices

Brown measure and asymptotic freeness of elliptic and related matrices

Universality in the fluctuation of eigenvalues of random circulant matrices

Fluctuations of eigenvalues of patterned random matrices

Hole probabilities for determinantal point processes in the complex plane

Hole probabilities for finite and infinite Ginibre ensembles

Determinantal point processes in the plane from products of random matrices

Large deviations of crowding in finite $β$ -ensembles