4 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…