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A note on random holomorphic iteration in convex domains

Filippo Bracci
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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.

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Filippo Bracci. 2006-04-24. A note on random holomorphic iteration in convex domains. https://arxiv.org/abs/math/0604509

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