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SUMMARY:Hopper Clark (Bates College)
DTSTART:20250521T173000Z
DTEND:20250521T175500Z
DTSTAMP:20260423T024836Z
UID:CANT2025/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/32/
 ">Patterns among Ulam words</a>\nby Hopper Clark (Bates College) as part o
 f Combinatorial and additive number theory (CANT 2025)\n\nLecture held in 
 CUNY Graduate Center - Science Center (4th floor).\n\nAbstract\nIn 1964\, 
 Stanislaw Ulam wrote about the Ulam sequence: beginning with 1 and 2\, the
  next term is the smallest unique sum of two different earlier terms. In 2
 020\, the parallel notion of the set of Ulam words\, \n$\\mathcal{U}$\, wa
 s introduced by Bade\, Cui\, Labelle\, and Li\, which looks at concatenati
 ons of words in $F_2$\, the free group on two generators. In this talk\, w
 e will discuss patterns of words in $\\mathcal{U}$\, touching on both prov
 en results and conjectured ones. We will see how these patterns come to li
 fe visually\, and see how they produce images such as the discrete Sierp\\
 ' inski triangle.\n
LOCATION:https://researchseminars.org/talk/CANT2025/32/
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