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4 papers · 1 filter
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…
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…
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…