21 citations · 55 across the 14 of their papers we have counts for
Showing 2022 · math.PRShow all
3 papers · 2 filters
math.PR2022★ 1 cited
A dichotomy theory for the height functions of the BKT transition
Piet Lammers
This text considers the discrete height functions associated with the Berezinskii--Kosterlitz--Thouless transition (BKT) at slope zero. Our main results are as follows. * Sharpness…
math.PR2022
Non-reversible stationary states for majority voter and Ising dynamics on trees
Piet Lammers, Fabio Toninelli
We study three Markov processes on infinite, unrooted, regular trees: the stochastic Ising model (also known as the Glauber heat bath dynamics of the Ising model), a majority voter…
math.PR2022
Height function localisation on trees
Piet Lammers, Fabio Toninelli
We study two models of discrete height functions, that is, models of random integer-valued functions on the vertices of a tree. First, we consider the random homomorphism model, in…