75 citations · 676 across the 38 of their papers we have counts for
38 papers
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…
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…
From Trees to Gravity
Bergfinnur Durhuus, Thordur Jonsson, John Wheater
In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in…
Quantum walk on a comb with infinite teeth
Francois David, Thordur Jonsson
We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time as . We analyse t…
The structure of spatial slices of three-dimensional causal triangulations
Bergfinnur Durhuus, Thordur Jonsson
We consider causal 3-dimensional triangulations with the topology of or where and are the two-dimensional sphere and disc, respectiv…
Expoential bounds on the number of causal triangulations
Bergfinnur Durhuus, Thordur Jonsson
We prove that the number of combinatorially distinct causal 3-dimensional triangulations homeomorphic to the 3-dimensional sphere is bounded by an exponential function of the numbe…