3 papers
math.PR2025
Equality of the critical inverse temperatures for the one- and two-sided Dyson models
Noam Berger, Anders Johansson, Anders Öberg
We prove that the critical inverse temperatures and for the one- and two-sided Dyson models are the same when the power of the interaction…
math.DS2023
Continuous eigenfunctions of the transfer operator for Dyson models
Anders Johansson, Anders Öberg, Mark Pollicott
In this article we address a well known problem at the intersection of ergodic theory and statistical mechanics. We prove that there exists a continuous eigenfunction for the trans…
math.DS2016
Phase transitions in long-range Ising models and an optimal condition for factors of -measures
Anders Johansson, Anders Öberg, Mark Pollicott
We weaken the assumption of summable variations in a paper by Verbitskiy \cite{verb} to a weaker condition, Berbee's condition, in order for a 1-block factor (a single site renorma…