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math.PR2026
Large deviations of crowding in finite -ensembles
Kartick Adhikari, Sitanath Majumder
We consider finite -ensembles with points on , where denotes either the real line or the complex plane. Let 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…