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SUMMARY:Noy Soffer Aranov (Technion)
DTSTART:20240618T120000Z
DTEND:20240618T130000Z
DTSTAMP:20260423T021328Z
UID:OWNS/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/133/">E
 scape of Mass of the Thue Morse Sequence</a>\nby Noy Soffer Aranov (Techni
 on) as part of One World Numeration seminar\n\n\nAbstract\nOne way to stud
 y the distribution of quadratic number fields is through the evolution of 
 continued fraction expansions. In the function field setting\, it was show
 n by de Mathan and Teullie that given a quadratic irrational $\\Theta$\, t
 he degrees of the periodic part of the continued fraction of $t^n\\Theta$ 
 are unbounded. Paulin and Shapira improved this by proving that quadratic 
 irrationals exhibit partial escape of mass. Moreover\, they conjectured th
 at they must exhibit full escape of mass. We show that the Thue Morse sequ
 ence is a counterexample to their conjecture. In this talk we shall discus
 s the technique of proof as well as the connection between escape of mass 
 in continued fractions\, Hecke trees\, and number walls. This is part of o
 ngoing work joint with Erez Nesharim.\n
LOCATION:https://researchseminars.org/talk/OWNS/133/
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