BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Noy Soffer Aranov (University of Utah)
DTSTART:20241126T171500Z
DTEND:20241126T183000Z
DTSTAMP:20260423T021900Z
UID:NEDNT/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/80/">E
 scape of Mass of Sequences</a>\nby Noy Soffer Aranov (University of Utah) 
 as part of New England Dynamics and Number Theory Seminar\n\nLecture held 
 in Online.\n\nAbstract\nOne way to study the distribution of nested quadra
 tic number fields satisfying fixed arithmetic relationships is through the
  evolution of continued fraction expansions. In the function field setting
 \, it was shown by de Mathan and Teullie that given a quadratic irrational
  $\\Theta$\, the degrees of the periodic part of the continued fraction of
  $t^n\\Theta$ are unbounded. Paulin and Shapira improved this by proving t
 hat quadratic irrationals exhibit partial escape of mass. Moreover\, they 
 conjectured that they must exhibit full escape of mass. We construct count
 erexamples to their conjecture in every characteristic. In this talk we sh
 all discuss the technique of proof as well as the connection between escap
 e of mass in continued fractions\, Hecke trees\, and number walls. This is
  part of ongoing works with Erez Nesharim and with Steven Robertson.\n
LOCATION:https://researchseminars.org/talk/NEDNT/80/
END:VEVENT
END:VCALENDAR