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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 vertices with a complete -dimensional skeleton and -simplices occurring independently with probability p. Li…