4 papers
Height function delocalisation on cubic planar graphs
Piet Lammers
The interest is in models of integer-valued height functions on shift-invariant planar graphs whose maximum degree is three. We prove delocalisation for models induced by convex ne…
Variational principle for weakly dependent random fields
Piet Lammers, Martin Tassy
Using an alternative notion of entropy introduced by Datta, the max-entropy, we present a new simplified framework to study the minimizers of the specific free energy for random fi…
A generalisation of the honeycomb dimer model to higher dimensions
Piet Lammers
Linde, Moore, and Nordahl introduced a generalisation of the honeycomb dimer model to higher dimensions. The purpose of this article is to describe a number of structural propertie…
The bunkbed conjecture on the complete graph
Peter van Hintum, Piet Lammers
The bunkbed conjecture was first posed by Kasteleyn. If is a finite graph and some subset of , then the bunkbed of the pair is the graph p…