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Parametric Lyapunov exponents

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 نشر من قبل Gabriel Vigny
 تاريخ النشر 2020
  مجال البحث
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In an algebraic family of rational maps of $mathbb{P}^1$, we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critical value is Collet-Eckmann. This extends previous results of Graczyk and {S}wic{a}tek in the unicritical family, using Makarov theorem. Our methods are based instead on ideas of laminar currents theory.



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