Kartick Adhikari

activity

20242026

collaborators

7 papers

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.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--RÃ©nyi graphs is the Galt…

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…