2 papers
quant-ph2026
Quantum walk on a random comb
François David, Thordur Jonsson
We study continuous time quantum walk on a random comb graph with infinite teeth. Due to localization effects along the spine, the walk cannot go to infinity in the spine direction…
quant-ph2024
The Spectrum of Asymptotic Cayley Trees
Bergfinnur Durhuus, Thordur Jonsson, John Wheater
We characterize the spectrum of the transition matrix for simple random walk on graphs consisting of a finite graph with a finite number of infinite Cayley trees attached. We show…