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SUMMARY:Carlos Matheus (Ecole Polytechnique)
DTSTART:20200616T123000Z
DTEND:20200616T133000Z
DTSTAMP:20260423T021229Z
UID:OWNS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/7/">App
 roximations of the Lagrange and Markov spectra</a>\nby Carlos Matheus (Eco
 le Polytechnique) as part of One World Numeration seminar\n\n\nAbstract\nT
 he Lagrange and Markov spectra are closed subsets of the positive real num
 bers defined in terms of diophantine approximations. Their topological str
 uctures are quite involved: they begin with an explicit discrete subset ac
 cumulating at $3$\, they end with a half-infinite ray of the form $[4.52\\
 cdots\,\\infty)$\, and the portions between $3$ and $4.52\\cdots$ contain 
 complicated Cantor sets. In this talk\, we describe polynomial time algori
 thms to approximate (in Hausdorff topology) these spectra.\n
LOCATION:https://researchseminars.org/talk/OWNS/7/
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