F. Bianchi

Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials

Consider a holomorphic family (fλ)λ∈Λ$(f_\lambda)_{\lambda \in \Lambda }$ of polynomial maps on C$\mathbb {C}$ with the property that a critical point of fλ$f_\lambda$ is persistently preperiodic to a repelling periodic point of fλ$f_\lambda$ . Let Ω$\Omega$ be a bounded stable component of Λ$\Lambda$ with the property...