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The equilibrium states for semigroups of rational maps

✍ Scribed by Hiroki Sumi; Mariusz Urbański

Publisher
Springer Vienna
Year
2008
Tongue
English
Weight
257 KB
Volume
156
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

Equilibrium States and Hausdorff Measure
Equilibrium States and Hausdorff Measures for Interval Maps
✍ Franz Hofbauer; Gerhard Keller 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 936 KB

## 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 μ of f with Hausdorff measures __v__ and give an integral test for the dichotomy μ ≪ __v__ o