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

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

2002-06-09

arxiv.org/abs/math/0206086v1

Mathematics

Complex Variables

11 pages

Scientific paper

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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