Projections of gibbs states for hölder potentials

Mark Piraino

Projections of gibbs states for hölder potentials

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we give a short proof that the projection of a Gibbs state for a Hölder continuous potential on a mixing shift of finite type under a 1-block fiber-wise mixing factor map has a Hölder 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.

Original language	English (US)
Journal	Unknown Journal
State	Published - Sep 21 2017
Externally published	Yes

ASJC Scopus subject areas

General

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abstract = "In this paper we give a short proof that the projection of a Gibbs state for a H{\"o}lder continuous potential on a mixing shift of finite type under a 1-block fiber-wise mixing factor map has a H{\"o}lder 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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