Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
Volume 55 / 2007
Bulletin Polish Acad. Sci. Math. 55 (2007), 81-96
MSC: Primary 60J25, 26A18; Secondary 37A30, 28D05.
DOI: 10.4064/ba55-1-9
Abstract
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.
