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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261104T124808Z
DTSTART:20261111T150000Z
DTEND:20261111T160000Z
SUMMARY:Probability Seminar: Anastasiia Kovtun
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}ghi-mw2444f
 o-h1jbv4
DESCRIPTION:Anastasiia Kovtun (University of Manchester) will speak at th
 e Probability seminar.\n\nTitle: The Dickman Distribution: Historical Pe
 rspectives and New Multidimensional Generalisations\n\nAbstract: Since i
 ts introduction in the 1930s\, the Dickman function has found applicatio
 ns in various fields\, giving rise to several related objects\, includin
 g the Dickman distribution\, which in turn arises in a variety of stocha
 stic models across number theory\, combinatorics\, physics and biology. 
 Recently\, a definition of the multidimensional Dickman distribution has
  appeared in the literature\, together with an application to approximat
 ing the small jumps of multidimensional Lévy processes.\nHowever\, this 
 newly defined distribution lacks the important property of operator self
 decomposability. \n\nThis talk begins with the introduction of the one-d
 imensional Dickman distribution\, providing a historical perspective on 
 the topic. A new definition of the multidimensional Dickman distribution
 s is then introduced as a class of vector-valued random elements charact
 erised as fixed points of a specific affine transformation.\nThe new dis
 tributions are shown to possess the key properties of infinite divisibil
 ity and operator selfdecomposability. Furthermore\, several settings are
  identified in which the members of this class arise as limiting distrib
 utions.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
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