Iteration function systems with overlaps and self-affine measures.

In the first chapter; we consider the invariant measure mu generated by an integral self-affine IFS. We prove that any integral self-affine measure with a common contracting matrix can be expressed as a vector-valued self-affine measure with an IFS satisfying the open set condition (OSC). The same i...

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Bibliographic Details
Other Authors: Deng, Qirong.
Format: Others
Language:English
Chinese
Published: 2005
Subjects:
Online Access:http://library.cuhk.edu.hk/record=b6073983
http://repository.lib.cuhk.edu.hk/en/item/cuhk-343611