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SUMMARY:Marta Maggioni (Leiden University)
DTSTART:20200701T150000Z
DTEND:20200701T160000Z
DTSTAMP:20260423T023049Z
UID:DinAmicI/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/5/"
 >Matching for random systems with an application to minimal weight expansi
 ons</a>\nby Marta Maggioni (Leiden University) as part of DinAmicI: Anothe
 r Internet Seminar\n\n\nAbstract\nWe consider families of skew-product map
 s\, representing systems evolving in discrete time in which\, at each time
  step\, one of a number of transformations is chosen according to an i.i.d
  process and applied. We extend the notion of matching for such dynamical 
 systems and we show that\, for a certain family of piecewise affine random
  maps of the interval\, the property of random matching implies that any i
 nvariant density is piecewise constant. We give an application by introduc
 ing a one-parameter family of random maps generating signed binary expansi
 ons of numbers. This family has random matching for Lebesgue almost every 
 parameter\, producing matching intervals that are related to the ones obta
 ined for the Nakada continued fraction transformations. We use this proper
 ty to study the expansions with minimal weight.\nJoint with K. Dajani\, an
 d C. Kalle\n\nZoom link: https://unipd.zoom.us/j/98457166023?pwd=Q1VSZUtEb
 k95QnVUYmVGVEpQMXk5UT09\n
LOCATION:https://researchseminars.org/talk/DinAmicI/5/
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