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SUMMARY:Aerated Poisson distributions and their exact approximants.
DTSTART;VALUE=DATE-TIME:20170904T153000Z
DTEND;VALUE=DATE-TIME:20170904T155000Z
DTSTAMP;VALUE=DATE-TIME:20230207T222900Z
UID:indico-contribution-59@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Karol Penson (University Paris 6)\n\nWe analyze the
properties of combinatorial numbers appearing in the normal ordering of po
wers of certain differential operators. They are natural generalizations o
f the conventional Bell numbers. We explicitly construct the solutions of
the Stieltjes moment problems with these combinatorial sequences. It turns
out that in certain cases one encounters as solutions the discrete probab
ility distributions based on lacunary subsets of positive integers. They g
eneralize the standard Poisson laws and are called aerated Poisson distrib
utions. We furnish explicit approximants of the aerated Poisson distributi
ons through continuous functions via reparametrization of auxiliary soluti
ons for other generalized Bell numbers.\n\nhttps://zakopane.if.uj.edu.pl/e
vent/4/contributions/59/
LOCATION:30
RELATED-TO:indico-event-4@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/59/
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