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SUMMARY:Tushar Das (University of Wisconsin - La Crosse)
DTSTART:20210504T140000Z
DTEND:20210504T150000Z
DTSTAMP:20260423T021408Z
UID:OWNS/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/43/">Ha
 usdorff Hensley Good & Gauss</a>\nby Tushar Das (University of Wisconsin -
  La Crosse) as part of One World Numeration seminar\n\n\nAbstract\nSeveral
  participants of the One World Numeration Seminar (OWNS) will know Hensley
 's haunting bounds (c. 1990) for the dimension of irrationals whose regula
 r continued fraction expansion partial quotients are all at most N\; while
  some might remember Good's great bounds (c. 1940) for the dimension of ir
 rationals whose partial quotients are all at least N. We will report on re
 latively recent results in https://arxiv.org/abs/2007.10554 that allow one
  to extend such fabulous formulae to unexpected expansions. Our technology
  may be utilized to study various systems arising from numeration\, dynami
 cs\, or geometry. The talk will be accessible to students and beyond\, and
  I hope to present a sampling of open questions and research directions th
 at await exploration.\n
LOCATION:https://researchseminars.org/talk/OWNS/43/
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