2 papers
math.PR2025
Equality of the critical inverse temperatures for the one- and two-sided Dyson models
Noam Berger, Anders Johansson, Anders Ãberg
We prove that the critical inverse temperatures $β_c^{\mathbb N}(α)$ and $β_c^{\mathbb Z}(α)$ for the one- and two-sided Dyson models are the same when the power of the interac…
math.DS2025
Continuous eigenfunctions of the transfer operator for Dyson models
Anders Johansson, Anders Ãberg, 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…