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math.PR2025
On the diameter of random uniform hypergraphs in dense regime
Kartick Adhikari, Asrafunnesa Khatun
For a fixed natural number , we consider -uniform random hypergraphs on vertices , where each -subset of 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 (known as a variance profile matrix), where denotes the Hadamard product of the two matrices, is a determinist…