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arxiv: math/0604509 · v1 · submitted 2006-04-24 · 🧮 math.CV · math.DS

A note on random holomorphic iteration in convex domains

classification 🧮 math.CV math.DS
keywords conditionblochconvextypeanalogousboundedcomplexdegenerate
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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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