Lyapunov exponents, bifurcation currents and laminations in bifurcation loci

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dc.creatorBassanelli, G.
dc.creatorBerteloot, F.
dc.date2008-01-17
dc.date.accessioned2026-07-07T08:54:57Z
dc.date.available2026-07-07T08:54:57Z
dc.descriptionBifurcation loci in the moduli space of degree $d$ rational maps are shaped by the hypersurfaces defined by the existence of a cycle of period $n$ and multiplier 0 or $e^{iθ}$. Using potential-theoretic arguments, we establish two equidistribution properties for these hypersurfaces with respect to the bifurcation current. To this purpose we first establish approximation formulas for the Lyapunov function. In degree $d=2$, this allows us to build holomorphic motions and show that the bifurcation locus has a lamination structure in the regions where an attracting basin of fixed period exists.
dc.identifierhttps://arxiv.org/abs/0801.2590
dc.identifierhttp://arxiv.org/abs/0801.2590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146123
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject37F45; 37F10
dc.titleLyapunov exponents, bifurcation currents and laminations in bifurcation loci
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