Projections of Gibbs States for H\"older Potentials
Dynamical Systems
2018-03-13 v2
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.
Keywords
Cite
@article{arxiv.1709.07561,
title = {Projections of Gibbs States for H\"older Potentials},
author = {Mark Piraino},
journal= {arXiv preprint arXiv:1709.07561},
year = {2018}
}
Comments
11 pages. V2: small changes, corrected some references