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UID:6034@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220524T110000
DTEND;TZID=Europe/Paris:20220524T120000
DTSTAMP:20241120T200722Z
URL:https://www.i2m.univ-amu.fr/evenements/on-invariant-sets-with-vanishin
 g-derivative-and-cantor-set-dynamics/
SUMMARY:Piotr Oprocha (AGH University of Science and Technology in Kraków)
 : On invariant sets with vanishing derivative and Cantor set dynamics
DESCRIPTION:Piotr Oprocha: Combinatorial graphs can serve as a nice tool fo
 r description of dynamical systems on Cantor set. A classical example of t
 his type are Bratelli- Vershik diagrams. Recently\, Shimomura\, motivated 
 by works of Akin\, Glasner and Weiss\, developed an alternative approach\,
  which helps to describe dynamical systems on Cantor set by employing inve
 rse limit of graphs. This approach provides a useful tool for description 
 of dynamical systems on Cantor set.\nAs a particular application of the ab
 ove approach we will present a method of construction of Cantor set C with
  prescribed dynamics and its extension to interval maps with derivative ze
 ro on C. Starting motivation for this study is an old question whether inv
 ariant subset C⊂[0\,1]$ on which derivative of interval map f vanishes m
 ust contain a periodic point.\n(joint work with Silvère Gangloff)
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/04/Piotr_Oprocha.png
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300
 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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