Let (fλ)λ∈Λ be a holomorphic family of rational maps of degree d≥2 on P1 with dim(Λ)=m. Let ωΛ be a Kähler form on Λ. Assume that c1,…,ck are marked critical points and let T1,…,Tk be their respective bifurcation currents (see Section 2.1).
Before moving over to topological versions of rigidity for linear dynamical systems, we have to settle the following natural question: which sequences (nk)k≥0 appear as rigidity sequences (in the measure-theoretic sense) for linear dynamical systems…
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