# Conformal measures for rational functions revisited

Manfred Denker; R. Mauldin; Z. Nitecki; Mariusz Urbański

Fundamenta Mathematicae (1998)

- Volume: 157, Issue: 2-3, page 161-173
- ISSN: 0016-2736

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topDenker, Manfred, et al. "Conformal measures for rational functions revisited." Fundamenta Mathematicae 157.2-3 (1998): 161-173. <http://eudml.org/doc/212283>.

@article{Denker1998,

abstract = {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.},

author = {Denker, Manfred, Mauldin, R., Nitecki, Z., Urbański, Mariusz},

journal = {Fundamenta Mathematicae},

keywords = {rational function; Riemann sphere; conformal measure; Markov partition; thermodynamic formalism},

language = {eng},

number = {2-3},

pages = {161-173},

title = {Conformal measures for rational functions revisited},

url = {http://eudml.org/doc/212283},

volume = {157},

year = {1998},

}

TY - JOUR

AU - Denker, Manfred

AU - Mauldin, R.

AU - Nitecki, Z.

AU - Urbański, Mariusz

TI - Conformal measures for rational functions revisited

JO - Fundamenta Mathematicae

PY - 1998

VL - 157

IS - 2-3

SP - 161

EP - 173

AB - 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.

LA - eng

KW - rational function; Riemann sphere; conformal measure; Markov partition; thermodynamic formalism

UR - http://eudml.org/doc/212283

ER -

## References

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