Resumen de Parabolic Implosion and Julia-Lavaurs Sets in the Exponential Family

Mariusz Urbanski, Michel Zinsmeister

• 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.