88 citations · 679 across the 36 of their papers we have counts for
18 papers · 1 filter
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…
Critical behaviour of loop models on causal triangulations
Bergfinnur Durhuus, Xavier Poncini, Jorgen Rasmussen +1
We introduce a dense and a dilute loop model on causal dynamical triangulations. Both models are characterised by a geometric coupling constant and a loop parameter in such…
Random walks on combs
Bergfinnur Durhuus, Thordur Jonsson, John Wheater
We develop techniques to obtain rigorous bounds on the behaviour of random walks on combs. Using these bounds we calculate exactly the spectral dimension of random combs with infin…
Noncommutative waves have infinite propagation speed
Bergfinnur Durhuus, Thordur Jonsson
We prove the existence of global solutions to the Cauchy problem for noncommutative nonlinear wave equations in arbitrary even spatial dimensions where the noncommutativity is only…
A note on noncommutative scalar multisolitons
Bergfinnur Durhuus, Thordur Jonsson
We prove that there do not exist multisoliton solutions of noncommutative scalar field theory in the Moyal plane which interpolate smoothly between overlapping solitons and …
The Existence and Stability of Noncommutative Scalar Solitons
Bergfinnur Durhuus, Thordur Jonsson, Ryszard Nest
We establish existence and stabilty results for solitons in noncommutative scalar field theories in even space dimension . In particular, for any finite rank spectral projectio…