BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Martin Leguil (Université Paris-Sud 11 (France))
DTSTART:20200521T150000Z
DTEND:20200521T160000Z
DTSTAMP:20260423T041509Z
UID:DinAmicI/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/2/"
 >Some rigidity results for billiards and hyperbolic flows</a>\nby Martin L
 eguil (Université Paris-Sud 11 (France)) as part of DinAmicI: Another Int
 ernet Seminar\n\n\nAbstract\nIn a project with P. Bálint\, J. De Simoi an
 d V. Kaloshin\, we have been studying the inverse problem for a class of o
 pen dispersing billiards obtained by removing from the plane a finite numb
 er of smooth strictly convex scatterers satisfying a non-eclipse condition
 . The dynamics of such billiards is hyperbolic (Axiom A)\, and there is a 
 natural labeling of periodic orbits. We show that it is generically possib
 le\, in the analytic category and for billiard tables with two (partial) a
 xial symmetries\, to determine completely the geometry of those billiards 
 from the purely dynamical data encoded in their Marked Length Spectrum (le
 ngths of periodic orbits + marking). An important step is the obtention of
  asymptotic estimates for the Lyapunov exponents of certain periodic point
 s accumulating a reference periodic point\, which turn out to be useful in
  the study of other rigidity problems. In particular\, I will explain the 
 results obtained in a joint work with J. De Simoi\, K. Vinhage and Y. Yang
  on the question of entropy rigidity for 3-dimensional Anosov flows and di
 spersing billiards.\n\nZoom link: https://unipd.zoom.us/j/98220838792?pwd=
 Njg2U1pnQXQ3Uno4Nit0RE13MzFnQT09\n
LOCATION:https://researchseminars.org/talk/DinAmicI/2/
END:VEVENT
END:VCALENDAR