Author

Y. He

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Preprint Oct 2026

History-dependent unstable directions and the Binder--DeMarco conjecture

We establish dimension bounds and an exact dimension formula for equilibrium measures of degree $d$ holomorphic endomorphisms of $\mathbb P^2=\mathbb P^2(\mathbb C)$ satisfying suitable expansion and domination conditions. Write $\lambda_1>\lambda_2>0$ for their Lyapunov exponents. If two inverse histories ending at th...

Fabrizio Bianchi, Y. He · 0 citations

Open access Aug 2025

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...

F. Bianchi, Y. He · Journal of the London Mathem... · 2 citations