ScalingStacks

Theorem 4.1 . [02EA]

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Theorem 4.1.

Let μ\mu be a probability measure which satisfies condition ℋ⁡(α,A,ω){\mathcal{H}}(\alpha,A,\omega) and fix t>0t>0. There exists a unique function φt∈P​S​H​(X,ω)∩𝒞0​(X)\varphi_{t}\in PSH(X,\omega)\cap{\mathcal{C}}^{0}(X) such that

(ω+d​dc​φt)n=et​φ​μ.(\omega+dd^{c}\varphi_{t})^{n}=e^{t\varphi}\mu.

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