A note on random holomorphic iteration in convex domains

2006/04/24 by Filippo Bracci, Bracci, Filippo
Mathematics · #Holomorphic and Operator Theory #Analytic and geometric function theory #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.math/0604509

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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