Iterated Function Systems, Capacity and Green’s Functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2004 English Publisher:Springer Science and Business Media LLCJournal:Computational Methods and Function Theory, volume 4, pages 47-58 (issn: 1617-9447, eissn: 2195-3724,

Copyright policy )Funded by:NSERC | unidentified

Authors: Baribeau, Line; Brunet, Dominique; Ransford, Thomas; Rostand, Jérémie;

doi: 10.1007/bf03321055

Iterated Function Systems, Capacity and Green’s Functions

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Abstract

The iterated function system \(f_1, \ldots, f_m: \mathbb C\to\mathbb C\) with Lipschitz bounds \[ a_j | z-w| \leq | f_j(z)-f_j(w)| \leq b_j | z-w| , \] for \(0

Related Organizations

Université Laval
Canada

Keywords

Fractals, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, logarithmic Green's function, logarithmic capacity

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