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SUMMARY:Valentin Ovsienko (CNRS\, Université de Reims-Champagne-Ardenne)
DTSTART:20250318T130000Z
DTEND:20250318T140000Z
DTSTAMP:20260423T053132Z
UID:OWNS/145
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/145/">F
 rom Catalan numbers to integrable dynamics: continued fractions and Hankel
  determinants for q-numbers</a>\nby Valentin Ovsienko (CNRS\, Université 
 de Reims-Champagne-Ardenne) as part of One World Numeration seminar\n\n\nA
 bstract\nThe classical Catalan and Motzkin numbers have remarkable continu
 ed fraction expansions\, the corresponding sequences of Hankel determinant
 s consist of -1\, 0 and 1 only. We find an infinite family of power series
  corresponding to q-deformed real numbers that have very similar propertie
 s. Moreover\, their sequences of Hankel determinants turn out to satisfy S
 omos and Gale-Robinson recurrences. (Partially based on a joint work with 
 Emmanuel Pedon.)\n
LOCATION:https://researchseminars.org/talk/OWNS/145/
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