Entropy for maps of the interval
โ Scribed by Rufus Bowen
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 333 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Any continuous map T on a compact metric space X induces in a natural way a continuous map T on the space K(X) of all non-empty compact subsets of X. Let T be a homeomorphism on the interval or on the circle. It is proved that the topological entropy of the induced set valued map T is zero or infini
## Abstract For a class of piecewise monotone interval maps __T__ (including unimodal maps with negative Schwarzian derivative) and real valued functions f of bounded variation we compare equilibrium states ฮผ of f with Hausdorff measures __v__ and give an integral test for the dichotomy ฮผ โช __v__ o