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SUMMARY:Alexandre Trilles (Jagiellonian University)
DTSTART:20210514T081500Z
DTEND:20210514T094500Z
DTSTAMP:20260423T021859Z
UID:DSSUJ/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/28/">T
 opological stability of iterated function systems</a>\nby Alexandre Trille
 s (Jagiellonian University) as part of Dynamical systems seminar at the Ja
 giellonian University\n\nLecture held in 1016.\n\nAbstract\nWe study Itera
 ted Function Systems (IFS) with compact parameter space.\nWe show that the
  compactness of the phase space permits us to obtain a natural metric\non 
 the space of IFS which extends $C^0$-topology to the space of IFS.\nWe the
 n use this metric to define topological stability and to prove that\nin th
 is context the classical results saying that shadowing property is a neces
 sary\ncondition for topological stability and that shadowing property toge
 ther\nwith expansiveness are sufficient conditions.\n\nFor a proof of thes
 e statements\, in fact we use a stronger type of shadowing property\nwhich
  we show to be different than the standard one.\n\nThis is joint work with
  Alexander Arbieto.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/28/
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