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SUMMARY:Fan Lü (Sichuan Normal University)
DTSTART:20211221T133000Z
DTEND:20211221T143000Z
DTSTAMP:20260423T021441Z
UID:OWNS/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/70/">Mu
 ltiplicative Diophantine approximation in the parameter space of beta-dyna
 mical system</a>\nby Fan Lü (Sichuan Normal University) as part of One Wo
 rld Numeration seminar\n\n\nAbstract\nBeta-transformation is a special kin
 d of expanding dynamics\, the total information of which can be determined
  by the orbits of some critical points (e.g.\, the point 1). Letting $T_{\
 \beta}$ be the beta-transformation with $\\beta>1$ and $x$ be a fixed poin
 t in $(0\,1]$\, we consider the set of parameters $(\\alpha\, \\beta)$\, s
 uch that the multiple $\\|T^n_{\\alpha}(x)\\|\\|T^n_{\\beta}(x)\\|$ is wel
 l approximated or badly approximated. The Gallagher-type question\, Jarní
 k-type question as well as the badly approximable pairs\, i.e.\, Littlewoo
 d-type question are studied in detail.\n
LOCATION:https://researchseminars.org/talk/OWNS/70/
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