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arXiv:math/0602123 [math.DS]AbstractReferencesReviewsResources

Attracting current and equilibrium measure for attractors on P^k

Tien-Cuong Dinh

Published 2006-02-07, updated 2006-04-29Version 2

Let f be a holomorphic endomorphism of P^k having an attracting set A. We construct an attracting current and an equilibrium measure associated to A. The attracting current is weakly laminar and extremal in the cone of invariant currents. The equilibrium measure is mixing and has maximal entropy.

Comments: 22 pages
Categories: math.DS, math.CV
Subjects: 32H50, 32U40
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