17 citations · 38 across the 6 of their papers we have counts for
9 papers
Frege's election method: discrepancy, invariant polygons and Farey geometry
Jean-Pierre Conze, Svante Janson, Anders Öberg
We give a comprehensive study of Frege's modified election method as a proportional allocation rule and as a dynamical system. The method was introduced by Harrenstein, Lackner and…
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…
The Kusuoka measure and the energy Laplacian on level- Sierpiński gaskets
Anders Öberg, Konstantinos Tsougkas
We extend and survey results in the theory of analysis on fractal sets from the standard Laplacian on the Sierpiński gasket to the energy Laplacian, which is defined weakly by usin…
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…
Square summability of variations and convergence of the transfer operator
Anders Johansson, Anders Öberg
In this paper we study the one-sided shift operator on a state space defined by a finite alphabet. Using a scheme developed by Walters [13], we prove that the sequence of iterates…
Countable state shifts and uniqueness of g-measures
Anders Johansson, Anders Öberg, Mark Pollicott
In this paper we present a new approach to studying g-measures which is based upon local absolute continuity. We extend the result in [11] that square summability of variations of…