3 papers
physics.comp-ph2026
Spectral and Eigenvector Crossovers in Random Mixed Graphs
Himanshu Shekhar, Hrishidev Unni, Santosh Kumar +1
We study the spectral and eigenvector properties of random mixed graphs, combining undirected and directed interactions, using random matrix theory (RMT). The network is represente…
math-ph2025
Spectral fluctuations and crossovers in multilayer network
Himanshu Shekhar, Ashutosh Dheer, Santosh Kumar +1
We investigate spectral fluctuations in multilayer networks within the random matrix theory (RMT) framework to characterize universal and non-universal features. The adjacency matr…
math-ph2023
Spectral statistics of interpolating random circulant matrix and its applications to random circulant graphs
Sunidhi Sen, Himanshu Shekhar, Santosh Kumar
We consider a versatile matrix model of the form , where and are real random circulant matrices with independent but, in general, nonidentica…