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Dimension of pluriharmonic measure and polynomial endomorphisms of $\C^n$

I. Binder·L. DeMarco
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Abstract

Let $F$ be a polynomial endomorphism of $\C^n$ which extends holomorphically to $¶^n$. We prove that the dimension of $μ_F$, the pluriharmonic measure on the boundary of the filled Julia set of $F$, is bounded above by $2n-1$.

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I. Binder, L. DeMarco. 2002-06-09. Dimension of pluriharmonic measure and polynomial endomorphisms of $\C^n$. https://arxiv.org/abs/math/0206086

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