Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
Bulletin of the Polish Academy of Sciences. Mathematics (2007)
- Volume: 55, Issue: 1, page 81-96
- ISSN: 0239-7269
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topTomasz Bielaczyc. "Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities." Bulletin of the Polish Academy of Sciences. Mathematics 55.1 (2007): 81-96. <http://eudml.org/doc/280666>.
@article{TomaszBielaczyc2007,
abstract = {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.},
author = {Tomasz Bielaczyc},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Markov operators; iterated function systems; Hausdorff dimension},
language = {eng},
number = {1},
pages = {81-96},
title = {Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities},
url = {http://eudml.org/doc/280666},
volume = {55},
year = {2007},
}
TY - JOUR
AU - Tomasz Bielaczyc
TI - Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 1
SP - 81
EP - 96
AB - 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.
LA - eng
KW - Markov operators; iterated function systems; Hausdorff dimension
UR - http://eudml.org/doc/280666
ER -
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