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arXiv · 1709.07561

Projections of Gibbs States for H\"older Potentials

Mark Piraino
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Abstract

In this paper we give a short proof that the projection of a Gibbs state for a H\"older continuous potential on a mixing shift of finite type under a 1-block fiber-wise mixing factor map has a H\"older continuous g function. This improves a number of previous results. The key insight in the proof is to realize the measure of a cylinder set in terms of positive operators and use cone techniques.

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Mark Piraino. 2017-09-22. Projections of Gibbs States for H\"older Potentials. https://doi.org/10.1007/s10955-018-1967-3

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