English

A note on random holomorphic iteration in convex domains

Complex Variables 2007-05-23 v1 Dynamical Systems

Abstract

We introduce a geometric condition of Bloch type which guarantees that a subset of a bounded convex domain in several complex variables is degenerate with respect to every iterated function system. Furthermore we discuss the relations of such a Bloch type condition with the analogous hyperbolic Lipschitz condition.

Keywords

Cite

@article{arxiv.math/0604509,
  title  = {A note on random holomorphic iteration in convex domains},
  author = {Filippo Bracci},
  journal= {arXiv preprint arXiv:math/0604509},
  year   = {2007}
}

Comments

6 pages