Attracting current and equilibrium measure for attractors on P^k
Dynamical Systems
2007-05-23 v2 Complex Variables
Abstract
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.
Cite
@article{arxiv.math/0602123,
title = {Attracting current and equilibrium measure for attractors on P^k},
author = {Tien-Cuong Dinh},
journal= {arXiv preprint arXiv:math/0602123},
year = {2007}
}
Comments
22 pages