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SUMMARY:Slade Sanderson (Utrecht University)
DTSTART:20230131T130000Z
DTEND:20230131T140000Z
DTSTAMP:20260423T040048Z
UID:OWNS/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/106/">M
 atching for parameterised symmetric golden maps</a>\nby Slade Sanderson (U
 trecht University) as part of One World Numeration seminar\n\n\nAbstract\n
 In 2020\, Dajani and Kalle investigated invariant measures and frequencies
  of digits of signed binary expansions arising from a parameterised family
  of piecewise linear interval maps of constant slope 2.  Central to their 
 study was a property called ‘matching\,’ where the orbits of the left 
 and right limits of discontinuity points agree after some finite number of
  steps.  We obtain analogous results for a parameterised family of ‘symm
 etric golden maps’ of constant slope $\\beta$\, with $\\beta$ the golden
  mean.  Matching is again central to our methods\, though the dynamics of 
 the symmetric golden maps are more delicate than the binary case.  We char
 acterize the matching phenomenon in our setting\, present explicit invaria
 nt measures and frequencies of digits of signed $\\beta$-expansions\, and-
 --time permitting---show further implications for a family of piecewise li
 near maps which arise as jump transformations of the symmetric golden maps
 . \n\nJoint with Karma Dajani.\n
LOCATION:https://researchseminars.org/talk/OWNS/106/
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