Corollary 5.5 . [034G]

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Corollary 5.5.

Fix $\delta_{0}>0$ . There exists $\gamma_{0}\in]0,1[$ such that for all Borel subset $K$ of $\mathbb{C}\mathbb{P}^{n}$ with $Vol_{\omega}(K)\geq\delta_{0}$ , one has

Vol_{\omega}(f^{j}(K))\geq\gamma_{0}^{\lambda^{j}},\;\;\forall j\in\mathbb{N}.