Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 81-96.

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It is shown that for a typical continuous learning system defined on a compact convex subset of ${\mathbb R}^n$ the Hausdorff dimension of its invariant measure is equal to zero.
DOI : 10.4064/ba55-1-9
Keywords: shown typical continuous learning system defined compact convex subset mathbb hausdorff dimension its invariant measure equal zero

Tomasz Bielaczyc 1

1 Institute of Mathematics Silesian University 40-007 Katowice, Poland
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Tomasz Bielaczyc. Generic Properties of Continuous
Iterated Function Systems with Place Dependent Probabilities. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 81-96. doi : 10.4064/ba55-1-9. http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-9/

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