Geodesic
The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 84-98

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We consider a piecewise monotonie and piecewise continuous map T on the interval. If T has a derivative of bounded variation, we show for an ergodic invariant measure μ with positive Ljapunov exponent λμ that the Hausdorff dimension of μ equals hμ / λμ.
DOI : 10.4153/CMB-1992-013-x
Mots-clés : 28D05. 
Hofbauer, Franz. The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 84-98. doi: 10.4153/CMB-1992-013-x
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     title = {The {Hausdorff} {Dimension} of an {Ergodic} {Invariant} {Measure} for a {Piecewise} {Monotonic} {Map} of the {Interval}},
     journal = {Canadian mathematical bulletin},
     pages = {84--98},
     year = {1992},
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     number = {1},
     doi = {10.4153/CMB-1992-013-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-013-x/}
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