# Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.

Inventiones mathematicae (1985)

- Volume: 80, page 161-180
- ISSN: 0020-9910; 1432-1297/e

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topPrzytycki, Feliks. "Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.." Inventiones mathematicae 80 (1985): 161-180. <http://eudml.org/doc/143225>.

@article{Przytycki1985,

author = {Przytycki, Feliks},

journal = {Inventiones mathematicae},

keywords = {holomorphic dynamics; boundary behaviour of Riemann map; capacity; coding; basin of immediate attraction; Hausdorff dimension; harmonic measure; entropy; Lyapunov characteristic exponents; radial limit; Gibbs equilibrium states},

pages = {161-180},

title = {Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.},

url = {http://eudml.org/doc/143225},

volume = {80},

year = {1985},

}

TY - JOUR

AU - Przytycki, Feliks

TI - Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.

JO - Inventiones mathematicae

PY - 1985

VL - 80

SP - 161

EP - 180

KW - holomorphic dynamics; boundary behaviour of Riemann map; capacity; coding; basin of immediate attraction; Hausdorff dimension; harmonic measure; entropy; Lyapunov characteristic exponents; radial limit; Gibbs equilibrium states

UR - http://eudml.org/doc/143225

ER -

## Citations in EuDML Documents

top- Feliks Przytycki, Accessibility of typical points for invariant measures of positive Lyapunov exponents for iterations of holomorphic maps
- Feliks Przytycki, Anna Zdunik, Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique

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