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SUMMARY:Thomas Morrill (UNSW Canberra)
DTSTART:20200603T050000Z
DTEND:20200603T053000Z
DTSTAMP:20260417T133751Z
UID:NTOC2020/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTOC2020/5/"
 >Look\, Knave</a>\nby Thomas Morrill (UNSW Canberra) as part of Number The
 ory Online Conference 2020\n\n\nAbstract\nIn this lighthearted tribute to 
 the late John Conway\, we examine a recursive sequence in which $s_n$ is a
  binary string that describes what the previous term $s_{n-1}$ is not. By 
 adapting Conway's approach on the Look-and-Say sequence\, we determine lim
 iting behaviour of $\\{s_n\\}$ and dynamics of a related self-map on the s
 pace of infinite binary sequences. Our main result is the existence and un
 iqueness of a pair of binary sequences\, each the compliment-description o
 f the other.\n
LOCATION:https://researchseminars.org/talk/NTOC2020/5/
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