Definition 22.1.55.9ADEFD2FF381 Assume that $X$ admits a smooth flag $Y_{\bullet }$. Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )_{>0}$. The Duistermaat–Heckman measure $\operatorname{DH}(\Gamma )$ of $\Gamma $ is defined as
\[ \operatorname{DH}(\Gamma )\coloneqq n!\cdot \operatorname{DH}\left(\Delta _{Y_{\bullet }}(\theta ,\Gamma )\right). \]
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