Expanding endomorphisms of the circle revisited
Open Access
- 1 June 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (2) , 285-289
- https://doi.org/10.1017/s014338570000290x
Abstract
Two Cr, r ≥ 2, expanding maps of the circle which are absolutely continuously conjugate are Cr conjugate. Here ƒ and g: S1 → S1 are expanding if they stretch tangent vectors in some metric, and a conjugacy is an isomorphism h: S1 → S1 such that fh = hg.Keywords
This publication has 5 references indexed in Scilit:
- On Finite Blaschke Products whose Restrictions to the unit circle are Exact EndomorphismsBulletin of the London Mathematical Society, 1983
- Invariant Measures and Equilibrium States for Some Mappings which Expand DistancesTransactions of the American Mathematical Society, 1978
- Invariant measures and equilibrium states for some mappings which expand distancesTransactions of the American Mathematical Society, 1978
- Endomorphisms of a Lebesgue spaceBulletin of the American Mathematical Society, 1972
- Endomorphisms of Compact Differentiable ManifoldsAmerican Journal of Mathematics, 1969