BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lingmin Liao (Université Paris-Est Créteil Val de Marne)
DTSTART:20210622T123000Z
DTEND:20210622T133000Z
DTSTAMP:20260423T021334Z
UID:OWNS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/50/">Si
 multaneous Diophantine approximation of the orbits of the dynamical system
 s x2 and x3</a>\nby Lingmin Liao (Université Paris-Est Créteil Val de Ma
 rne) as part of One World Numeration seminar\n\n\nAbstract\nWe study the s
 ets of points whose orbits of the dynamical systems x2 and x3 simultaneous
 ly approach to a given point\, with a given speed. A zero-one law for the 
 Lebesgue measure of such sets is established. The Hausdorff dimensions are
  also determined for some special speeds. One dimensional formula among th
 em is established under the abc conjecture. At the same time\, we also stu
 dy the Diophantine approximation of the orbits of a diagonal matrix transf
 ormation of a torus\, for which the properties of the (negative) beta tran
 sformations are involved. This is a joint work with Bing Li\, Sanju Velani
  and Evgeniy Zorin.\n
LOCATION:https://researchseminars.org/talk/OWNS/50/
END:VEVENT
END:VCALENDAR