A note on random holomorphic iteration in convex domains

Details A note on random holomorphic iteration in convex domains A note on random holomorphic iteration in convex domains

2006-04-24

arxiv.org/abs/math/0604509v1

Mathematics

Complex Variables

6 pages

Scientific paper

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.

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