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UID:20251019T003243EDT-60850TtgTh@132.216.98.100
DTSTAMP:20251019T043243Z
DESCRIPTION:TITLE :\n	Observable events and typical trajectories in finite a
 nd infinite dimensional dynamical systems\n	\n	ABSTRACT :\n	The terms 'observ
 able events' and 'typical trajectories' in the title should really be betw
 een quotation marks\, because what is typical and/or observable is a matte
 r of interpretation. For dynamical systems on finite dimensional spaces\, 
 one often equates observable events with positive Lebesgue measure sets\, 
 and invariant distributions that reflect the large-time behaviors of posit
 ive Lebesgue measure sets of initial conditions (such as Liouville measure
  for Hamiltonian systems) are considered to be especially important. I wil
 l begin by introducing\n	these concepts for general dynamical systems -- in
 cluding those with attractors -- describing a simple dynamical picture tha
 t one might hope to be true. This picture does not always hold\, unfortuna
 tely\, but a small amount of random noise will bring it about. In the seco
 nd part of my talk I will consider infinite dimensional systems such as se
 mi-flows arising from dissipative evolutionary PDEs. I will discuss the ex
 tent to which the ideas above can be generalized to infinite dimensions\, 
 and propose a notion of ``typical solutions'.\n	\n	PLACE :\n	Zoom meeting id:
 \n	https://umontreal.zoom.us/j/170851981?pwd=b1ZxMWM0Z3Q0d3I5ZHJUS0FUZEY5QT
 09\n	ID de réunion : 170 851 981\n	Mot de passe : 942210\n	\n	\n	\n	 \n
DTSTART:20200417T200000Z
DTEND:20200417T210000Z
SUMMARY:Lai-Sang Young (NYU Courant)  (Videoconference)
URL:/mathstat/channels/event/lai-sang-young-nyu-couran
 t-videoconference-321560
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