Attractors on $\mathbf{P}^k$

Feng Rong

Attractors on $\mathbf{P}^k$

动力系统 2007-05-23 v2

作者: Feng Rong

摘要

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.

关键词

attractors holomorphic dynamics thurston maps

引用

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

备注

22 pages

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