Kartick Adhikari

activity

20172022

collaborators

5 papers

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.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.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…