Pome

Definition 17.10.8289AFFBB3978E

Definition 17.10.82.89AFFBB3978E We define the radial Monge–Ampère energy $\mathbf{E}^{\phi }\colon \mathcal{R}(X,\theta ;\phi )\rightarrow \mathbb {R}\cup \{ \pm \infty \} $ as follows:

\[ \mathbf{E}^{\phi }(\ell )\coloneqq \varlimsup _{t\to \infty }\frac{E_{\theta }^{\phi }(\ell _ t)}{t}. \]

When $\phi =V_{\theta }$, we write $\mathbf{E}$ instead of $\mathbf{E}^{V_{\theta }}$.

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