3 papers
math-ph2025
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…
math.PR2022
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…
math.PR2021
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…