Invariant measures whose supports possess the strong open set property

Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions on it. If \(P\) is a probability distribution on the maps, and \(K\) is the fractal determined by \(S\), there is a unique Borel probability measure \(\mu _P\) on \(X\) which is invariant under the a...

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Bibliographic Details
Main Author: Gerald S. Goodman
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2008-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol28/4/art/opuscula_math_2835.pdf