Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
Tomasz Bielaczyc
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007), p. 81-96 / Harvested from The Polish Digital Mathematics Library
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It is shown that for a typical continuous learning system defined on a compact convex subset of ℝⁿ the Hausdorff dimension of its invariant measure is equal to zero.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280666 
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     author = {Tomasz Bielaczyc},
     title = {Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities},
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     year = {2007},
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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) pp. 81-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-1-9/