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On conformal measures of parabolic meromorphic functions

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  • We prove the absolute continuity of the Hausdorff measure with respect to any conformal measure. These results extend Denker and Urbanski's work on parabolic rational functions.
    Mathematics Subject Classification: Primary: 30B20, 30D05, 30D10; Secondary: 34M05, 37F10.


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    M. Denker and M. Urbański, Geometric measures for parabolic rational maps, Ergodic. Theory Dynam. Systems, 12 (1992), 53-66.doi: 10.1017/S014338570000657X.


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