Definition 3.3 . [015G]

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Definition 3.3.

Let $Y$ be a stratum corresponding to a maximal face of $\Delta({\mathcal{L}})$ . The residual measure on $Y$ of a continuous metric $\psi$ on ${\mathcal{L}}$ is the (finite) positive measure on $Y$ defined by

\operatorname{Res}_{Y}(\psi):=\exp\left(2(\psi|_{Y}-\phi_{B^{\mathcal{L}}_{Y}})\right).