Geodesic
McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below
Feliks Przytycki 1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 69 (2021) no. 2, pp. 115-137 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We introduce new variants of the notion of geometric pressure for rational functions on the Riemann sphere, including non-hyperbolic functions, in the hope that some of them will turn out useful to achieve fast approximation from below of the hyperbolic Hausdorff dimension of Julia sets.
DOI : 10.4064/ba211224-4-3
Keywords: introduce variants notion geometric pressure rational functions riemann sphere including non hyperbolic functions hope turn out useful achieve fast approximation below hyperbolic hausdorff dimension julia sets

Feliks Przytycki  1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland 
@article{10_4064_ba211224_4_3,
     author = {Feliks Przytycki},
     title = {McMullen{\textquoteright}s and geometric pressures and approximating the {Hausdorff} dimension of {Julia} sets from below},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {115--137},
     year = {2021},
     volume = {69},
     number = {2},
     doi = {10.4064/ba211224-4-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba211224-4-3/}
}
TY  - JOUR
AU  - Feliks Przytycki
TI  - McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2021
SP  - 115
EP  - 137
VL  - 69
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba211224-4-3/
DO  - 10.4064/ba211224-4-3
LA  - en
ID  - 10_4064_ba211224_4_3
ER  - 
%0 Journal Article
%A Feliks Przytycki
%T McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2021
%P 115-137
%V 69
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ba211224-4-3/
%R 10.4064/ba211224-4-3
%G en
%F 10_4064_ba211224_4_3
Feliks Przytycki. McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 69 (2021) no. 2, pp. 115-137. doi: 10.4064/ba211224-4-3

Cité par Sources :