Attractors on $\mathbf{P}^k$

Feng Rong

Attractors on $\mathbf{P}^k$

Dynamical Systems 2007-05-23 v2

Authors: Feng Rong

Abstract

We show that special perturbations of a particular holomorphic map on $\mathbf{P}^k$ give us examples of maps that possess chaotic nonalgebraic attractors. Furthermore, we study the dynamics of the maps on the attractors. In particular, we construct invariant hyperbolic measures supported on the attractors with nice dynamical properties.

Keywords

attractors holomorphic dynamics thurston maps

Cite

@article{arxiv.math/0510650,
  title  = {Attractors on $\mathbf{P}^k$},
  author = {Feng Rong},
  journal= {arXiv preprint arXiv:math/0510650},
  year   = {2007}
}

Comments

22 pages

Related papers

View all related →