Markov operators on multimeasures
Davide La Torre, University of Milan
Franklin Mendivil
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ABSTRACT:
In this paper, we study some IFS Markov operators on set-valued measures (multimeasures).
For this, we consider countable additivity with respect to the Minkowski sum of compact
and convex sets and countable additivity with respect to (the Hausdorff closure of)
unions of compact sets. After defining appropriate metrics and proving completeness, we
define several variations on IFS Markov operators on multimeasures and give many examples.
SUGGESTED CITATION:
Davide La Torre and Franklin Mendivil,
"Markov operators on multimeasures"
(June 2006).
UNIMI - Research Papers in Economics, Business, and Statistics.
Statistics and Mathematics.
Working Paper 12.
http://services.bepress.com/unimi/statistics/art12
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