Bernoulli coding map and almost sure invariance principle for endomorphisms of ${\mathbb{P}}^k$

Christophe Dupont

Let $f$ be an holomorphic endomorphism of ${\mathbb{P}}^k$ and $\mu$ be its measure of maximal entropy. We prove an Almost Sure Invariance Principle for the systems $(\mathbb{P}^k,f,μ)…