Geometry of $Q$-recurrent maps

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dc.creatorPérez, Rodrigo A.
dc.date2003-11-20
dc.date.accessioned2026-07-07T05:03:06Z
dc.date.available2026-07-07T05:03:06Z
dc.descriptionGiven a critically periodic quadratic map with no secondary renormalizations, we introduce the notion of $Q$-recurrent quadratic polynomials. We show that the pieces of the principal nest of a $Q$-recurrent map $f_c$ converge in shape to the Julia set of $Q$. We use this fact to compute analytic invariants of the nest of $f_c$, to give a complete characterization of complex quadratic Fibonacci maps and to obtain a new auto-similarity result on the Mandelbrot set.
dc.description8 figures
dc.identifierhttps://arxiv.org/abs/math/0311359
dc.identifierhttp://arxiv.org/abs/math/0311359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69276
dc.subjectDynamical Systems
dc.subject37F20
dc.titleGeometry of $Q$-recurrent maps
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