1 citations · 1 across the 7 of their papers we have counts for
8 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…
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…
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…
Linear Eigenvalue Statistics of matrices
Kiran Kumar A. S, Shambhu Nath Maurya, Koushik Saha
This article focuses on the fluctuations of linear eigenvalue statistics of , where is an Toeplitz matrix with real, comple…
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…
A non-Gaussian limit for linear eigenvalue statistics of Hankel matrices
Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha
This article focuses on linear eigenvalue statistics of Hankel matrices with independent entries. Using the convergence of moments we show that the linear eigenvalue statistics of…
Asymptotic Behaviour of Linear eigenvalue statistics of Hankel matrices
Kiran Kumar A. S., Shambhu Nath Maurya
We study linear eigenvalue statistics of band Hankel matrices with Brownian motion entries. We prove that, the centred, normalized linear eigenvalue statistics of band Hankel matri…