Attracting current and equilibrium measure for attractors on P^k

Details Attracting current and equilibrium measure for attractors on P^k Attracting current and equilibrium measure for attractors on P^k

2006-02-07

arxiv.org/abs/math/0602123v2

Mathematics

Dynamical Systems

22 pages

Scientific paper

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.

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