Hausdorff measure of Julia sets in the exponential family

• Autores: Jörn Peter
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 1, 2010, págs. 229-255
• Idioma: inglés
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• Resumen

  • We consider the Hausdorff measure of Julia sets and escaping sets of exponential maps with respect to certain gauge functions. We give conditions on the growth of the gauge function that imply that the measure is zero or infinity.