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SUMMARY:Paul Glendinning (University of Manchester)
DTSTART:20251118T130000Z
DTEND:20251118T140000Z
DTSTAMP:20260423T021348Z
UID:OWNS/156
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/156/">P
 ositive Hausdorff dimension for the survivor set and transitions to chaos 
 for piecewise smooth maps</a>\nby Paul Glendinning (University of Manchest
 er) as part of One World Numeration seminar\n\n\nAbstract\nWe consider two
  related problems. The transition to chaos in the sense of positive topolo
 gical entropy for one-dimensional piecewise smooth maps\, and the transiti
 on to positive Hausdorff dimension for the survivor set of associated open
  maps. We describe an iterative process that determines the boundaries of 
 positive topological entropy (resp. positive Hausdorff dimension). The bou
 ndary can then be characterised via substitution sequences that generalise
  the Thue-Morse sequence for continuous maps of the interval. This work is
  joint with Clément Hege.\n
LOCATION:https://researchseminars.org/talk/OWNS/156/
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