17 citations · 40 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
Ergodic Theory of Kusuoka Measures
Anders Johansson, Anders Öberg, Mark Pollicott
In the analysis on self-similar fractal sets, the Kusuoka measure plays an important role (cf. \cite{kusuoka2}, \cite{kajino}, \cite{str3}). Here we investigate the Kusuoka measure…
Unique Bernoulli g-measures
Anders Johansson, Anders Öberg, Mark Pollicott
We improve and subsume the conditions of Johansson and Öberg [18] and Berbee [2] for uniqueness of a g-measure, i.e., a stationary distribution for chains with complete connections…
Multifractal analysis of non-uniformly hyperbolic systems
Anders Johansson, Thomas Jordan, Anders Öberg +1
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Mann…