4 papers
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,…
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…
CLT for generalized patterned random matrices: a unified approach
Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha
In this paper, we derive a unified method for establishing the distributional convergence of linear eigenvalue statistics (LES) for generalized patterned random matrices. We prove…
Limiting distributions of ergodic continuous-time quantum walks on periodic graphs
Anne Boutet de Monvel, Kiran Kumar A. S., Mostafa Sabri
In this expository note, we study several families of periodic graphs which satisfy a sufficient condition for the ergodicity of the associated continuous-time quantum walk. For th…