BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Polina Vytnova (University of Warwick) DTSTART:20210629T123000Z DTEND:20210629T133000Z DTSTAMP:20260423T021421Z UID:OWNS/51 DESCRIPTION:Title: Ha usdorff dimension of Gauss-Cantor sets and their applications to the study of classical Markov spectrum\nby Polina Vytnova (University of Warwic k) as part of One World Numeration seminar\n\n\nAbstract\nThe classical La grange and Markov spectra are subsets of the real line which arise in conn ection with some problems in theory Diophantine approximation theory. In 1 921 O. Perron gave a definition in terms of continued fractions\, which al lowed to study the Markov and Lagrange spectra using limit sets of iterate d function schemes. \n\nIn this talk we will see how the first transition point\, where the Markov spectra acquires the full measure can be computed by the means of estimating Hausdorff dimension of the certain Gauss-Canto r sets. \n\nThe talk is based on a joint work with C. Matheus\, C. G. More ira and M. Pollicott.\n LOCATION:https://researchseminars.org/talk/OWNS/51/ END:VEVENT END:VCALENDAR