Geodesic
Rigidity of harmonic measure
Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 237-244 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Let J be the Julia set of a conformal dynamics f. Provided that f is polynomial-like we prove that the harmonic measure on J is mutually absolutely continuous with the measure of maximal entropy if and only if f is conformally equivalent to a polynomial. This is no longer true for generalized polynomial-like maps. But for such dynamics the coincidence of classes of these two measures turns out to be equivalent to the existence of a conformal change of variable which reduces the dynamical system to another one for which the harmonic measure equals the measure of maximal entropy.
DOI : 10.4064/fm-150-3-237-244

I. Popovici 1 ; A. Volberg 1

1 
@article{10_4064_fm_150_3_237_244,
     author = {I. Popovici and A. Volberg},
     title = {Rigidity of harmonic measure},
     journal = {Fundamenta Mathematicae},
     pages = {237--244},
     year = {1996},
     volume = {150},
     number = {3},
     doi = {10.4064/fm-150-3-237-244},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-150-3-237-244/}
}
TY  - JOUR
AU  - I. Popovici
AU  - A. Volberg
TI  - Rigidity of harmonic measure
JO  - Fundamenta Mathematicae
PY  - 1996
SP  - 237
EP  - 244
VL  - 150
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-150-3-237-244/
DO  - 10.4064/fm-150-3-237-244
LA  - en
ID  - 10_4064_fm_150_3_237_244
ER  - 
%0 Journal Article
%A I. Popovici
%A A. Volberg
%T Rigidity of harmonic measure
%J Fundamenta Mathematicae
%D 1996
%P 237-244
%V 150
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-150-3-237-244/
%R 10.4064/fm-150-3-237-244
%G en
%F 10_4064_fm_150_3_237_244
I. Popovici; A. Volberg. Rigidity of harmonic measure. Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 237-244. doi: 10.4064/fm-150-3-237-244

Cité par Sources :