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

Abstract

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 $2n-1$.

11 pages

References in corpus (1)

• Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents