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Continuity of Hausdorff dimension of Julia-Lavaurs sets as a function of the phase

Let $ f_{0}(z)=z^{2}+1/4$ and $\Sigma $ the set of phases $\overline{\sigma \ }$ such that the critical point $ 0$ escapes in one step by the Lavaurs map $ g_{\sigma }$; it is a topological strip in the cylinder of phases whose boundary consists of two Jordan curves symmetric wrt $ \RR /\ZZ $. We pr...

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Detalles Bibliográficos
Autores principales: Urbanski, M, Zinsmeister, M
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:http://cds.cern.ch/record/456563