Answers are grounded in this paper and cite their sources.
Two C r , r ≥ 2, expanding maps of the circle which are absolutely continuously conjugate are C r conjugate. Here ƒ and g : S 1 → S 1 are expanding if they stretch tangent vectors in some metric, and a conjugacy is an isomorphism h : S 1 → S 1 such that fh = hg .
No takes yet. Share an insight, caveat, or question.
Shub et al. (1985) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: