Projections of Gibbs States for Hölder Potentials

Mark Stephens Piraino*

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)952-961
Number of pages10
JournalJournal of Statistical Physics
Volume170
Issue number5
DOIs
StatePublished - Mar 1 2018

Keywords

  • Hidden Markov measures
  • Hilbert’s metric
  • Projections of Gibbs states

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Projections of Gibbs States for Hölder Potentials'. Together they form a unique fingerprint.

  • Cite this