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

I. Binder; L. DeMarco

arxiv: math/0206086 · v1 · pith:Q4THFQ4Hnew · submitted 2002-06-09 · 🧮 math.CV · math.DS

Dimension of pluriharmonic measure and polynomial endomorphisms of C^n

I. Binder , L. DeMarco This is my paper

classification 🧮 math.CV math.DS

keywords dimensionmeasurepluriharmonicpolynomialaboveboundaryboundedendomorphism

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

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Dimension of pluriharmonic measure and polynomial endomorphisms of C^n

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