Geodesic
Conformal measures for rational functions revisited
Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 161-173.

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

We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism.
DOI : 10.4064/fm_1998_157_2-3_1_161_173

M. Denker 1 ; R. D. Mauldin 1 ; Z. Nitecki 1 ; M. Urbański 1

1 
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M. Denker; R. D. Mauldin; Z. Nitecki; M. Urbański. Conformal measures for rational functions revisited. Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 161-173. doi : 10.4064/fm_1998_157_2-3_1_161_173. http://geodesic.mathdoc.fr/articles/10.4064/fm_1998_157_2-3_1_161_173/

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