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SUMMARY:Aperiodic hierarchical conformal tilings: random at the ends? - St
 ephenson\, K (University of Tennessee)
DTSTART:20150126T150000Z
DTEND:20150126T160000Z
UID:TALK57511@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Phil Bowers (Florida State Univ.) \n\nConformal til
 ings represent a new chapter in the theory of aperiodic hierarchical tilin
 gs\, whose most famous example is the Penrose tiling of 'kites' and 'darts
 '. We move away from tiles with individually rigid euclidean shapes to til
 es that are conformally regular and get their rigidity from the global pat
 tern. I will introduce the structure for individual conformal tilings and 
 illustrate with several examples\, including the conformal Penrose\, snowc
 ube\, and pinwheel tilings. At first these might seem quite concrete\, but
  there is profound ambiguity in the long range structure --- indeed\, any 
 finite patch can be completed to uncountably many global conformal tilings
 . In other words\, hierarchical tiling families display a type of randomne
 ss in their ends. \n
LOCATION:Seminar Room 1\, Newton Institute
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