PomeDefinition 22.1.79.322D4668B967 For $\varphi \in \mathrm{PSH}(X,\theta )$, we define the analytification $\varphi ^{\mathrm{An}}\colon X^{\mathrm{An}}\rightarrow [-\infty ,0]$ as follows:
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\begin{equation} \varphi ^{\mathrm{An}}(v)\coloneqq -v(\varphi )=-\lim _{k\to \infty }\frac{1}{k}v\left(\mathcal{I}(k\varphi ) \right). \end{equation}
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