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Fabrizio Bianchi

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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

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