Open set condition and pseudo Hausdorff measure of self-affine IFSs

Let A be an n × n real expanding matrix and D be a finite subset of Rn with 0∈D. The family of maps {fd(x)=A−1(x+d)}d∈D is called a self-affine iterated function system (self-affine IFS). The self-affine set K=K(A,D) is the unique compact set determined by (A,D) satisfying the set-valued equation K=...

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Veröffentlicht in:	Nonlinearity 2020-06, Vol.33 (6), p.2592-2614
Hauptverfasser:	Fu, Xiaoye, Gabardo, Jean-Pierre, Qiu, Hua
Format:	Artikel
Sprache:	eng
Schlagworte:	iterated function system open set condition pseudo Hausdorff measure pseudo norm self-affine sets upper Beurling density
Online-Zugang:	Volltext
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