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SUMMARY:Niels Langeveld (Leiden University)
DTSTART:20200630T123000Z
DTEND:20200630T133000Z
DTSTAMP:20260423T021215Z
UID:OWNS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/9/">Con
 tinued fractions with two non integer digits</a>\nby Niels Langeveld (Leid
 en University) as part of One World Numeration seminar\n\n\nAbstract\nIn t
 his talk\, we will look at a family of continued fraction expansions for w
 hich the digits in the expansions can attain two different (typically non-
 integer) values\, named $\\alpha_1$ and $\\alpha_2$ with $\\alpha_1 \\alph
 a_2 \\le 1/2$. If $\\alpha_1 \\alpha_2 < 1/2$ we can associate a dynamical
  system to these expansions with a switch region and therefore with lazy a
 nd greedy expansions. We will explore the parameter space and highlight ce
 rtain values for which we can construct the natural extension (such as a f
 amily for which the lowest digit cannot be followed by itself). We end the
  talk with a list of open problems.\n
LOCATION:https://researchseminars.org/talk/OWNS/9/
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