56 citations · 143 across the 13 of their papers we have counts for
14 papers
The scaling limit of random 2-connected series-parallel maps
Daniel Amankwah, Jakob Björnberg, Sigurdur Örn Stefánsson +2
A finite graph embedded in the plane is called a series-parallel map if it can be obtained from a finite tree by repeatedly subdividing and doubling edges. We study the scaling lim…
Geometry of large Boltzmann outerplanar maps
Sigurdur Örn Stefánsson, Benedikt Stufler
We study the phase diagram of random outerplanar maps sampled according to non-negative Boltzmann weights that are assigned to each face of a map. We prove that for certain choices…
Almost sure convergence of vertex degree densities in the vertex-splitting model
Sigurdur Örn Stefánsson, Erik Thörnblad
We study the limiting degree distribution of the vertex splitting model introduced in \cite{DDJS:2009}. This is a model of randomly growing ordered trees, where in each time step t…
On site percolation in random quadrangulations of the half-plane
Jakob E. Björnberg, Sigurdur Örn Stefánsson
We study site percolation on uniform quadrangulations of the upper half plane. The main contribution is a method for applying Angel's peeling process, in particular for analyzing a…
Random walk on random infinite looptrees
Jakob E. Björnberg, Sigurdur Örn Stefánsson
Looptrees have recently arisen in the study of critical percolation on the uniform infinite planar triangulation. Here we consider random infinite looptrees defined as the local li…
Recurrence of bipartite planar maps
Jakob E. Björnberg, Sigurdur Orn Stefansson
This paper concerns random bipartite planar maps which are defined by assigning weights to their faces. The paper presents a threefold contribution to the theory. Firstly, we prove…