Parabolic Implosion and Julia-Lavaurs Sets in the Exponential Family

• Autores: Mariusz Urbanski, Michel Zinsmeister
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 2, 2006, págs. 129-140
• Idioma: inglés
• DOI: 10.1007/s00605-006-0426-4
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• Resumen

  • We deal with all the maps from the exponential family f e(z) = (e -1 + e)exp(z), with e = 0. Let h e = HD(J r,e) be the Hausdorff dimension of the radial Julia sets J r,e. Observing the phenomenon of parabolic implosion, it is shown that the function e ? h e is not continuous from the right.