Some comments on 'Unique Bernoulli $g$-measures'

TL;DR

This paper revises and corrects proofs of existing results on Bernoulli $g$-measures, leading to updated theorems while preserving key corollaries.

Contribution

It provides corrected proofs and modifies the most general results on Bernoulli $g$-measures, ensuring mathematical accuracy.

Findings

Corrected proofs of Johansson, "Oberg, and Pollicott's results

Updated theorems on Bernoulli $g$-measures

Main corollaries remain unchanged

Abstract

Proofs of results due to Johansson, \"Oberg and Pollicott are given which correct some aspects of the originals. This leads to modifications to the most general results; however, the main corollaries are unaffected.