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SUMMARY:Michael Barnsley (Australian National University)
DTSTART:20201201T133000Z
DTEND:20201201T143000Z
DTSTAMP:20260423T053133Z
UID:OWNS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/25/">Ri
 gid fractal tilings</a>\nby Michael Barnsley (Australian National Universi
 ty) as part of One World Numeration seminar\n\n\nAbstract\nI will describe
  recent work\, joint with Louisa Barnsley and Andrew Vince\, concerning a 
 symbolic approach to self-similar tilings. This approach uses graph-direct
 ed iterated function systems to analyze both classical tilings and also ge
 neralized tilings of what may be unbounded fractal subsets of $\\mathbb{R}
 ^n$. A notion of rigid tiling systems is defined. Our key theorem states t
 hat when the system is rigid\, all the conjugacies of the tilings can be d
 escribed explicitly. In the seminar I hope to prove this for the case of s
 tandard IFSs.\n
LOCATION:https://researchseminars.org/talk/OWNS/25/
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