Geodesic
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
Studia Mathematica, Tome 106 (1993) no. 3, pp. 213-231

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We construct examples of expanding piecewise monotonic maps on the interval which have a closed topologically transitive invariant subset A with Darboux property, Hausdorff dimension d ∈ (0,1) and zero d-dimensional Hausdorff measure. This shows that the results about Hausdorff and conformal measures proved in the first part of this paper are in some sense best possible. 
Franz Hofbauer. Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II. Studia Mathematica, Tome 106 (1993) no. 3, pp. 213-231. doi: 10.4064/sm-106-3-213-231
@article{10_4064_sm_106_3_213_231,
     author = {Franz Hofbauer},
     title = {Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval {II}},
     journal = {Studia Mathematica},
     pages = {213--231},
     year = {1993},
     volume = {106},
     number = {3},
     doi = {10.4064/sm-106-3-213-231},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-106-3-213-231/}
}
TY  - JOUR
AU  - Franz Hofbauer
TI  - Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
JO  - Studia Mathematica
PY  - 1993
SP  - 213
EP  - 231
VL  - 106
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-106-3-213-231/
DO  - 10.4064/sm-106-3-213-231
LA  - en
ID  - 10_4064_sm_106_3_213_231
ER  - 
%0 Journal Article
%A Franz Hofbauer
%T Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
%J Studia Mathematica
%D 1993
%P 213-231
%V 106
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-106-3-213-231/
%R 10.4064/sm-106-3-213-231
%G en
%F 10_4064_sm_106_3_213_231

Cité par Sources :