Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities

• Autorzy: Tomasz Bielaczyc
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 26A18: Iteration
• 60J25: Continuous-time Markov processes on general state spaces
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 1
• Strony: 81-96

Daty

wydano

2007

Twórcy

autor

Tomasz Bielaczyc

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ba55-1-9