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math-ph2026
Ergodicity in discrete-time quantum walks
Kiran Kumar, Mostafa Sabri
We undertake a detailed analysis of ergodicity for homogeneous discrete-time quantum walks on the integer lattice. The most significant result of our paper holds in dimension one,…
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…