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SUMMARY:Stefano Marò (University of Pisa (Italy))
DTSTART:20201112T150000Z
DTEND:20201112T160000Z
DTSTAMP:20260423T023016Z
UID:DinAmicI/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/10/
 ">Chaotic motion in the breathing circle billiard</a>\nby Stefano Marò (U
 niversity of Pisa (Italy)) as part of DinAmicI: Another Internet Seminar\n
 \n\nAbstract\nWe consider the free motion of a point particle inside a cir
 cular billiard with periodically moving boundary\, with the assumption tha
 t the collisions of the particle with the boundary are elastic so that the
  energy of the particle is not preserved. It is known that if the motion o
 f the boundary is regular enough then the energy is bounded due to the exi
 stence of invariant curves. We show that it is nevertheless possible that 
 the motion of the particle is chaotic\, also under regularity assumptions 
 for the moving boundary. More precisely\, we show that there exists a clas
 s of functions describing the motion of the boundary for which the billiar
 d map admits invariant probability measures with positive metric entropy. 
 The proof relies on variational techniques based on Aubry-Mather theory. \
 nJoint work with Claudio Bonanno.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/10/
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