32 citations · 116 across the 10 of their papers we have counts for
11 papers
A two-table theorem for a disordered Chinese restaurant process
Jakob E. Björnberg, Cécile Mailler, Peter Mörters +1
We investigate a disordered variant of Pitman's Chinese restaurant process where tables carry i.i.d. weights. Incoming customers choose to sit at an occupied table with a probabili…
Stable shredded spheres and causal random maps with large faces
Jakob Björnberg, Nicolas Curien, Sigurdur Örn Stefánsson
We introduce a new family of random compact metric spaces for , which we call stable shredded spheres. They are constructed from excursions of -stable…
Quantum spins and random loops on the complete graph
Jakob E. Björnberg, Jürg Fröhlich, Daniel Ueltschi
We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetr…
Critical parameter of random loop model on trees
Jakob E. Björnberg, Daniel Ueltschi
We give estimates of the critical parameter for random loop models that are related to quantum spin systems. A special case of the model that we consider is the interchange- or ran…
Decay of transverse correlations in quantum Heisenberg models
Jakob E. Björnberg, Daniel Ueltschi
We study a class of quantum spin systems that includes the Heisenberg and XY-models, and prove that two-point correlations exhibit exponential decay in the presence of…
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…
Sharpness versus robustness of the percolation transition in 2D contact processes
J. van den Berg, J. E. Björnberg, M. Heydenreich
We study versions of the contact process with three states, and with infections occurring at a rate depending on the overall infection density. Motivated by a model described in [1…
A stochastic model for virus growth in a cell population
Jakob E. Björnberg, Tom Britton, Erik I. Broman +1
A stochastic model for the growth of a virus in a cell population is introduced. The virus has two ways of spreading: either by allowing its host cell to live on and duplicate, or…
The phase transition of the quantum Ising model is sharp
J. E. Björnberg, G. R. Grimmett
An analysis is presented of the phase transition of the quantum Ising model with transverse field on the d-dimensional hypercubic lattice. It is shown that there is a unique sharp…