17 citations · 38 across the 6 of their papers we have counts for
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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…
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…
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…