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Equilibrium measures for holomorphic endomorphisms of complex projective spaces

Mariusz UrbańskiDepartment of Mathematics University of North Texas Denton, TX 76203-1430, U.S.AAnna ZdunikInstitute of Mathematics University of Warsaw 02-097 Warszawa, Poland
2013en
ABI

Abstract

Let $f:\mathbb{P}\to\mathbb{P}$ be a holomorphic endomorphism of a complex projective space $\mathbb{P}^k$, $k\ge 1$, and let $J$ be the Julia set of $f$ (the topological support of the unique maximal entropy measure). Then there exists a positive number

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