Probabilistic invariant measures for non-entire functions with asymptotic values mapped onto \(\infty\)

zbMath1086.37025MaRDI QIDQ819235

Janina Kotus

Publication date: 28 March 2006

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

invariant measuresprojectionHausdorff dimensionrational mapconformal measurestranscendental meromorphic functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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