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degenerate subset

Proceedings of the Edinburgh Mathematical Society (1)

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A NOTE ON RANDOM HOLOMORPHIC ITERATION IN CONVEX DOMAINS
Filippo Bracci
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 2 / June 2008

Published online by Cambridge University Press:

28 July 2008, pp. 297-304
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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.